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Simplifying -1(2x + 3) + -5(x + -2) = 2x + -7 Reorder the terms: -1(3 + 2x) + -5(x + -2) = 2x + -7 (3 * -1 + 2x * -1) + -5(x + -2) = 2x + -7 (-3 + -2x) + -5(x + -2) = 2x + -7 Reorder the terms: -3 + -2x + -5(-2 + x) = 2x + -7 -3 + -2x + (-2 * -5 + x * -5) = 2x + -7 -3 + -2x + (10 + -5x) = 2x + -7 Reorder the terms: -3 + 10 + -2x + -5x = 2x + -7 Combine like terms: -3 + 10 = 7 7 + -2x + -5x = 2x + -7 Combine like terms: -2x + -5x = -7x 7 + -7x = 2x + -7 Reorder the terms: 7 + -7x = -7 + 2x Solving 7 + -7x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -7x + -2x = -7 + 2x + -2x Combine like terms: -7x + -2x = -9x 7 + -9x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -9x = -7 + 0 7 + -9x = -7 Add '-7' to each side of the equation. 7 + -7 + -9x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -7 + -7 -9x = -7 + -7 Combine like terms: -7 + -7 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556
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