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Simplifying 7(6 + -2x) + 3x = 3(3 + x) + -1(2x + 9) (6 * 7 + -2x * 7) + 3x = 3(3 + x) + -1(2x + 9) (42 + -14x) + 3x = 3(3 + x) + -1(2x + 9) Combine like terms: -14x + 3x = -11x 42 + -11x = 3(3 + x) + -1(2x + 9) 42 + -11x = (3 * 3 + x * 3) + -1(2x + 9) 42 + -11x = (9 + 3x) + -1(2x + 9) Reorder the terms: 42 + -11x = 9 + 3x + -1(9 + 2x) 42 + -11x = 9 + 3x + (9 * -1 + 2x * -1) 42 + -11x = 9 + 3x + (-9 + -2x) Reorder the terms: 42 + -11x = 9 + -9 + 3x + -2x Combine like terms: 9 + -9 = 0 42 + -11x = 0 + 3x + -2x 42 + -11x = 3x + -2x Combine like terms: 3x + -2x = 1x 42 + -11x = 1x Solving 42 + -11x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + -11x + -1x = 1x + -1x Combine like terms: -11x + -1x = -12x 42 + -12x = 1x + -1x Combine like terms: 1x + -1x = 0 42 + -12x = 0 Add '-42' to each side of the equation. 42 + -42 + -12x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = 0 + -42 -12x = 0 + -42 Combine like terms: 0 + -42 = -42 -12x = -42 Divide each side by '-12'. x = 3.5 Simplifying x = 3.5
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