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Simplifying 3(4x + 1) + -9x = 6(2x) + -1(x + -6) + -2 Reorder the terms: 3(1 + 4x) + -9x = 6(2x) + -1(x + -6) + -2 (1 * 3 + 4x * 3) + -9x = 6(2x) + -1(x + -6) + -2 (3 + 12x) + -9x = 6(2x) + -1(x + -6) + -2 Combine like terms: 12x + -9x = 3x 3 + 3x = 6(2x) + -1(x + -6) + -2 Remove parenthesis around (2x) 3 + 3x = 6 * 2x + -1(x + -6) + -2 Multiply 6 * 2 3 + 3x = 12x + -1(x + -6) + -2 Reorder the terms: 3 + 3x = 12x + -1(-6 + x) + -2 3 + 3x = 12x + (-6 * -1 + x * -1) + -2 3 + 3x = 12x + (6 + -1x) + -2 Reorder the terms: 3 + 3x = 6 + -2 + 12x + -1x Combine like terms: 6 + -2 = 4 3 + 3x = 4 + 12x + -1x Combine like terms: 12x + -1x = 11x 3 + 3x = 4 + 11x Solving 3 + 3x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 3x + -11x = 4 + 11x + -11x Combine like terms: 3x + -11x = -8x 3 + -8x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -8x = 4 + 0 3 + -8x = 4 Add '-3' to each side of the equation. 3 + -3 + -8x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 4 + -3 -8x = 4 + -3 Combine like terms: 4 + -3 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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