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Simplifying 3(2 + -1x) + -9 = 5(x + 1) (2 * 3 + -1x * 3) + -9 = 5(x + 1) (6 + -3x) + -9 = 5(x + 1) Reorder the terms: 6 + -9 + -3x = 5(x + 1) Combine like terms: 6 + -9 = -3 -3 + -3x = 5(x + 1) Reorder the terms: -3 + -3x = 5(1 + x) -3 + -3x = (1 * 5 + x * 5) -3 + -3x = (5 + 5x) Solving -3 + -3x = 5 + 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. -3 + -3x + -5x = 5 + 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -8x = 5 + 0 -3 + -8x = 5 Add '3' to each side of the equation. -3 + 3 + -8x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 5 + 3 -8x = 5 + 3 Combine like terms: 5 + 3 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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