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Simplifying x + -5(3 + -2x) = 4 + -1(2x + -7) x + (3 * -5 + -2x * -5) = 4 + -1(2x + -7) x + (-15 + 10x) = 4 + -1(2x + -7) Reorder the terms: -15 + x + 10x = 4 + -1(2x + -7) Combine like terms: x + 10x = 11x -15 + 11x = 4 + -1(2x + -7) Reorder the terms: -15 + 11x = 4 + -1(-7 + 2x) -15 + 11x = 4 + (-7 * -1 + 2x * -1) -15 + 11x = 4 + (7 + -2x) Combine like terms: 4 + 7 = 11 -15 + 11x = 11 + -2x Solving -15 + 11x = 11 + -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. -15 + 11x + 2x = 11 + -2x + 2x Combine like terms: 11x + 2x = 13x -15 + 13x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 13x = 11 + 0 -15 + 13x = 11 Add '15' to each side of the equation. -15 + 15 + 13x = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 11 + 15 13x = 11 + 15 Combine like terms: 11 + 15 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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