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Simplifying 6(x + 1) + 3 = 3x + -2(1 + -1x) Reorder the terms: 6(1 + x) + 3 = 3x + -2(1 + -1x) (1 * 6 + x * 6) + 3 = 3x + -2(1 + -1x) (6 + 6x) + 3 = 3x + -2(1 + -1x) Reorder the terms: 6 + 3 + 6x = 3x + -2(1 + -1x) Combine like terms: 6 + 3 = 9 9 + 6x = 3x + -2(1 + -1x) 9 + 6x = 3x + (1 * -2 + -1x * -2) 9 + 6x = 3x + (-2 + 2x) Reorder the terms: 9 + 6x = -2 + 3x + 2x Combine like terms: 3x + 2x = 5x 9 + 6x = -2 + 5x Solving 9 + 6x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 6x + -5x = -2 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = -2 + 0 9 + 1x = -2 Add '-9' to each side of the equation. 9 + -9 + 1x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -2 + -9 1x = -2 + -9 Combine like terms: -2 + -9 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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