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