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Simplifying 2(x + 5) = 7(2x + -2) Reorder the terms: 2(5 + x) = 7(2x + -2) (5 * 2 + x * 2) = 7(2x + -2) (10 + 2x) = 7(2x + -2) Reorder the terms: 10 + 2x = 7(-2 + 2x) 10 + 2x = (-2 * 7 + 2x * 7) 10 + 2x = (-14 + 14x) Solving 10 + 2x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 2x + -14x = -14 + 14x + -14x Combine like terms: 2x + -14x = -12x 10 + -12x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -12x = -14 + 0 10 + -12x = -14 Add '-10' to each side of the equation. 10 + -10 + -12x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -14 + -10 -12x = -14 + -10 Combine like terms: -14 + -10 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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