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Simplifying 2(x + 2) = 5(x + -2) + -7 Reorder the terms: 2(2 + x) = 5(x + -2) + -7 (2 * 2 + x * 2) = 5(x + -2) + -7 (4 + 2x) = 5(x + -2) + -7 Reorder the terms: 4 + 2x = 5(-2 + x) + -7 4 + 2x = (-2 * 5 + x * 5) + -7 4 + 2x = (-10 + 5x) + -7 Reorder the terms: 4 + 2x = -10 + -7 + 5x Combine like terms: -10 + -7 = -17 4 + 2x = -17 + 5x Solving 4 + 2x = -17 + 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. 4 + 2x + -5x = -17 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = -17 + 0 4 + -3x = -17 Add '-4' to each side of the equation. 4 + -4 + -3x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -17 + -4 -3x = -17 + -4 Combine like terms: -17 + -4 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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