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Simplifying -2(x + -7) = 5(x + 1) Reorder the terms: -2(-7 + x) = 5(x + 1) (-7 * -2 + x * -2) = 5(x + 1) (14 + -2x) = 5(x + 1) Reorder the terms: 14 + -2x = 5(1 + x) 14 + -2x = (1 * 5 + x * 5) 14 + -2x = (5 + 5x) Solving 14 + -2x = 5 + 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. 14 + -2x + -5x = 5 + 5x + -5x Combine like terms: -2x + -5x = -7x 14 + -7x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -7x = 5 + 0 14 + -7x = 5 Add '-14' to each side of the equation. 14 + -14 + -7x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 5 + -14 -7x = 5 + -14 Combine like terms: 5 + -14 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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