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Simplifying 3(x + -3) + 6 = -1 + 5(x + 2) Reorder the terms: 3(-3 + x) + 6 = -1 + 5(x + 2) (-3 * 3 + x * 3) + 6 = -1 + 5(x + 2) (-9 + 3x) + 6 = -1 + 5(x + 2) Reorder the terms: -9 + 6 + 3x = -1 + 5(x + 2) Combine like terms: -9 + 6 = -3 -3 + 3x = -1 + 5(x + 2) Reorder the terms: -3 + 3x = -1 + 5(2 + x) -3 + 3x = -1 + (2 * 5 + x * 5) -3 + 3x = -1 + (10 + 5x) Combine like terms: -1 + 10 = 9 -3 + 3x = 9 + 5x Solving -3 + 3x = 9 + 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 = 9 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = 9 + 0 -3 + -2x = 9 Add '3' to each side of the equation. -3 + 3 + -2x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 9 + 3 -2x = 9 + 3 Combine like terms: 9 + 3 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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