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Simplifying -7(x + -2) = 5(3 + -1x) Reorder the terms: -7(-2 + x) = 5(3 + -1x) (-2 * -7 + x * -7) = 5(3 + -1x) (14 + -7x) = 5(3 + -1x) 14 + -7x = (3 * 5 + -1x * 5) 14 + -7x = (15 + -5x) Solving 14 + -7x = 15 + -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 + -7x + 5x = 15 + -5x + 5x Combine like terms: -7x + 5x = -2x 14 + -2x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + -2x = 15 + 0 14 + -2x = 15 Add '-14' to each side of the equation. 14 + -14 + -2x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 15 + -14 -2x = 15 + -14 Combine like terms: 15 + -14 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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