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Simplifying -5(2x + -7) + -1x = 2(x + 2) + 8 Reorder the terms: -5(-7 + 2x) + -1x = 2(x + 2) + 8 (-7 * -5 + 2x * -5) + -1x = 2(x + 2) + 8 (35 + -10x) + -1x = 2(x + 2) + 8 Combine like terms: -10x + -1x = -11x 35 + -11x = 2(x + 2) + 8 Reorder the terms: 35 + -11x = 2(2 + x) + 8 35 + -11x = (2 * 2 + x * 2) + 8 35 + -11x = (4 + 2x) + 8 Reorder the terms: 35 + -11x = 4 + 8 + 2x Combine like terms: 4 + 8 = 12 35 + -11x = 12 + 2x Solving 35 + -11x = 12 + 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. 35 + -11x + -2x = 12 + 2x + -2x Combine like terms: -11x + -2x = -13x 35 + -13x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -13x = 12 + 0 35 + -13x = 12 Add '-35' to each side of the equation. 35 + -35 + -13x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = 12 + -35 -13x = 12 + -35 Combine like terms: 12 + -35 = -23 -13x = -23 Divide each side by '-13'. x = 1.769230769 Simplifying x = 1.769230769
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