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Simplifying 4(2x + 2) + -3x = 15(x + -2) + -72 Reorder the terms: 4(2 + 2x) + -3x = 15(x + -2) + -72 (2 * 4 + 2x * 4) + -3x = 15(x + -2) + -72 (8 + 8x) + -3x = 15(x + -2) + -72 Combine like terms: 8x + -3x = 5x 8 + 5x = 15(x + -2) + -72 Reorder the terms: 8 + 5x = 15(-2 + x) + -72 8 + 5x = (-2 * 15 + x * 15) + -72 8 + 5x = (-30 + 15x) + -72 Reorder the terms: 8 + 5x = -30 + -72 + 15x Combine like terms: -30 + -72 = -102 8 + 5x = -102 + 15x Solving 8 + 5x = -102 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 5x + -15x = -102 + 15x + -15x Combine like terms: 5x + -15x = -10x 8 + -10x = -102 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -10x = -102 + 0 8 + -10x = -102 Add '-8' to each side of the equation. 8 + -8 + -10x = -102 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -102 + -8 -10x = -102 + -8 Combine like terms: -102 + -8 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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