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Simplifying 3x + 8 + -1(4 + 2x) = 6(2x + 1) + 9 3x + 8 + (4 * -1 + 2x * -1) = 6(2x + 1) + 9 3x + 8 + (-4 + -2x) = 6(2x + 1) + 9 Reorder the terms: 8 + -4 + 3x + -2x = 6(2x + 1) + 9 Combine like terms: 8 + -4 = 4 4 + 3x + -2x = 6(2x + 1) + 9 Combine like terms: 3x + -2x = 1x 4 + 1x = 6(2x + 1) + 9 Reorder the terms: 4 + 1x = 6(1 + 2x) + 9 4 + 1x = (1 * 6 + 2x * 6) + 9 4 + 1x = (6 + 12x) + 9 Reorder the terms: 4 + 1x = 6 + 9 + 12x Combine like terms: 6 + 9 = 15 4 + 1x = 15 + 12x Solving 4 + 1x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 1x + -12x = 15 + 12x + -12x Combine like terms: 1x + -12x = -11x 4 + -11x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -11x = 15 + 0 4 + -11x = 15 Add '-4' to each side of the equation. 4 + -4 + -11x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 15 + -4 -11x = 15 + -4 Combine like terms: 15 + -4 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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