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Simplifying 3(x + 1) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11x) Reorder the terms: 3(1 + x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11x) (1 * 3 + x * 3) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11x) (3 + 3x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11x) Reorder the terms: 3 + 3x + -1(-9 + x) + (x + 3) = (x + 4) + (x + 2) + -1(11x) 3 + 3x + (-9 * -1 + x * -1) + (x + 3) = (x + 4) + (x + 2) + -1(11x) 3 + 3x + (9 + -1x) + (x + 3) = (x + 4) + (x + 2) + -1(11x) Reorder the terms: 3 + 3x + 9 + -1x + (3 + x) = (x + 4) + (x + 2) + -1(11x) Remove parenthesis around (3 + x) 3 + 3x + 9 + -1x + 3 + x = (x + 4) + (x + 2) + -1(11x) Reorder the terms: 3 + 9 + 3 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11x) Combine like terms: 3 + 9 = 12 12 + 3 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11x) Combine like terms: 12 + 3 = 15 15 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11x) Combine like terms: 3x + -1x = 2x 15 + 2x + x = (x + 4) + (x + 2) + -1(11x) Combine like terms: 2x + x = 3x 15 + 3x = (x + 4) + (x + 2) + -1(11x) Reorder the terms: 15 + 3x = (4 + x) + (x + 2) + -1(11x) Remove parenthesis around (4 + x) 15 + 3x = 4 + x + (x + 2) + -1(11x) Reorder the terms: 15 + 3x = 4 + x + (2 + x) + -1(11x) Remove parenthesis around (2 + x) 15 + 3x = 4 + x + 2 + x + -1(11x) Remove parenthesis around (11x) 15 + 3x = 4 + x + 2 + x + -1 * 11x Multiply -1 * 11 15 + 3x = 4 + x + 2 + x + -11x Reorder the terms: 15 + 3x = 4 + 2 + x + x + -11x Combine like terms: 4 + 2 = 6 15 + 3x = 6 + x + x + -11x Combine like terms: x + x = 2x 15 + 3x = 6 + 2x + -11x Combine like terms: 2x + -11x = -9x 15 + 3x = 6 + -9x Solving 15 + 3x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 15 + 3x + 9x = 6 + -9x + 9x Combine like terms: 3x + 9x = 12x 15 + 12x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 15 + 12x = 6 + 0 15 + 12x = 6 Add '-15' to each side of the equation. 15 + -15 + 12x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 6 + -15 12x = 6 + -15 Combine like terms: 6 + -15 = -9 12x = -9 Divide each side by '12'. x = -0.75 Simplifying x = -0.75
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