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Simplifying 5(x + 12) + -10 = 3(x + -4) + 8 Reorder the terms: 5(12 + x) + -10 = 3(x + -4) + 8 (12 * 5 + x * 5) + -10 = 3(x + -4) + 8 (60 + 5x) + -10 = 3(x + -4) + 8 Reorder the terms: 60 + -10 + 5x = 3(x + -4) + 8 Combine like terms: 60 + -10 = 50 50 + 5x = 3(x + -4) + 8 Reorder the terms: 50 + 5x = 3(-4 + x) + 8 50 + 5x = (-4 * 3 + x * 3) + 8 50 + 5x = (-12 + 3x) + 8 Reorder the terms: 50 + 5x = -12 + 8 + 3x Combine like terms: -12 + 8 = -4 50 + 5x = -4 + 3x Solving 50 + 5x = -4 + 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. 50 + 5x + -3x = -4 + 3x + -3x Combine like terms: 5x + -3x = 2x 50 + 2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + 2x = -4 + 0 50 + 2x = -4 Add '-50' to each side of the equation. 50 + -50 + 2x = -4 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = -4 + -50 2x = -4 + -50 Combine like terms: -4 + -50 = -54 2x = -54 Divide each side by '2'. x = -27 Simplifying x = -27
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