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Simplifying 5(x + 3) + -6 = 3(x + -2) + 5 Reorder the terms: 5(3 + x) + -6 = 3(x + -2) + 5 (3 * 5 + x * 5) + -6 = 3(x + -2) + 5 (15 + 5x) + -6 = 3(x + -2) + 5 Reorder the terms: 15 + -6 + 5x = 3(x + -2) + 5 Combine like terms: 15 + -6 = 9 9 + 5x = 3(x + -2) + 5 Reorder the terms: 9 + 5x = 3(-2 + x) + 5 9 + 5x = (-2 * 3 + x * 3) + 5 9 + 5x = (-6 + 3x) + 5 Reorder the terms: 9 + 5x = -6 + 5 + 3x Combine like terms: -6 + 5 = -1 9 + 5x = -1 + 3x Solving 9 + 5x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x 9 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 2x = -1 + 0 9 + 2x = -1 Add '-9' to each side of the equation. 9 + -9 + 2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -1 + -9 2x = -1 + -9 Combine like terms: -1 + -9 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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