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Simplifying 2(4 + -2x) + 7 = 5(x + -2) + -2 (4 * 2 + -2x * 2) + 7 = 5(x + -2) + -2 (8 + -4x) + 7 = 5(x + -2) + -2 Reorder the terms: 8 + 7 + -4x = 5(x + -2) + -2 Combine like terms: 8 + 7 = 15 15 + -4x = 5(x + -2) + -2 Reorder the terms: 15 + -4x = 5(-2 + x) + -2 15 + -4x = (-2 * 5 + x * 5) + -2 15 + -4x = (-10 + 5x) + -2 Reorder the terms: 15 + -4x = -10 + -2 + 5x Combine like terms: -10 + -2 = -12 15 + -4x = -12 + 5x Solving 15 + -4x = -12 + 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. 15 + -4x + -5x = -12 + 5x + -5x Combine like terms: -4x + -5x = -9x 15 + -9x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -9x = -12 + 0 15 + -9x = -12 Add '-15' to each side of the equation. 15 + -15 + -9x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -12 + -15 -9x = -12 + -15 Combine like terms: -12 + -15 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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