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Simplifying 2(x + 2) = 7(x + -2) + -7 Reorder the terms: 2(2 + x) = 7(x + -2) + -7 (2 * 2 + x * 2) = 7(x + -2) + -7 (4 + 2x) = 7(x + -2) + -7 Reorder the terms: 4 + 2x = 7(-2 + x) + -7 4 + 2x = (-2 * 7 + x * 7) + -7 4 + 2x = (-14 + 7x) + -7 Reorder the terms: 4 + 2x = -14 + -7 + 7x Combine like terms: -14 + -7 = -21 4 + 2x = -21 + 7x Solving 4 + 2x = -21 + 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. 4 + 2x + -7x = -21 + 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = -21 + 0 4 + -5x = -21 Add '-4' to each side of the equation. 4 + -4 + -5x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -21 + -4 -5x = -21 + -4 Combine like terms: -21 + -4 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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