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Simplifying 5(x + -2) = 7(x + -2) Reorder the terms: 5(-2 + x) = 7(x + -2) (-2 * 5 + x * 5) = 7(x + -2) (-10 + 5x) = 7(x + -2) Reorder the terms: -10 + 5x = 7(-2 + x) -10 + 5x = (-2 * 7 + x * 7) -10 + 5x = (-14 + 7x) Solving -10 + 5x = -14 + 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. -10 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x -10 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -2x = -14 + 0 -10 + -2x = -14 Add '10' to each side of the equation. -10 + 10 + -2x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -14 + 10 -2x = -14 + 10 Combine like terms: -14 + 10 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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