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Simplifying -3(x + 5) + 12 = 2(x + 5) + 5x Reorder the terms: -3(5 + x) + 12 = 2(x + 5) + 5x (5 * -3 + x * -3) + 12 = 2(x + 5) + 5x (-15 + -3x) + 12 = 2(x + 5) + 5x Reorder the terms: -15 + 12 + -3x = 2(x + 5) + 5x Combine like terms: -15 + 12 = -3 -3 + -3x = 2(x + 5) + 5x Reorder the terms: -3 + -3x = 2(5 + x) + 5x -3 + -3x = (5 * 2 + x * 2) + 5x -3 + -3x = (10 + 2x) + 5x Combine like terms: 2x + 5x = 7x -3 + -3x = 10 + 7x Solving -3 + -3x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + -3x + -7x = 10 + 7x + -7x Combine like terms: -3x + -7x = -10x -3 + -10x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -10x = 10 + 0 -3 + -10x = 10 Add '3' to each side of the equation. -3 + 3 + -10x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 10 + 3 -10x = 10 + 3 Combine like terms: 10 + 3 = 13 -10x = 13 Divide each side by '-10'. x = -1.3 Simplifying x = -1.3
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