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Simplifying 5(-2x + -1) + 7 + x = -9x + -1(2x + -3) + 7 Reorder the terms: 5(-1 + -2x) + 7 + x = -9x + -1(2x + -3) + 7 (-1 * 5 + -2x * 5) + 7 + x = -9x + -1(2x + -3) + 7 (-5 + -10x) + 7 + x = -9x + -1(2x + -3) + 7 Reorder the terms: -5 + 7 + -10x + x = -9x + -1(2x + -3) + 7 Combine like terms: -5 + 7 = 2 2 + -10x + x = -9x + -1(2x + -3) + 7 Combine like terms: -10x + x = -9x 2 + -9x = -9x + -1(2x + -3) + 7 Reorder the terms: 2 + -9x = -9x + -1(-3 + 2x) + 7 2 + -9x = -9x + (-3 * -1 + 2x * -1) + 7 2 + -9x = -9x + (3 + -2x) + 7 Reorder the terms: 2 + -9x = 3 + 7 + -9x + -2x Combine like terms: 3 + 7 = 10 2 + -9x = 10 + -9x + -2x Combine like terms: -9x + -2x = -11x 2 + -9x = 10 + -11x Solving 2 + -9x = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2 + -9x + 11x = 10 + -11x + 11x Combine like terms: -9x + 11x = 2x 2 + 2x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 2 + 2x = 10 + 0 2 + 2x = 10 Add '-2' to each side of the equation. 2 + -2 + 2x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 10 + -2 2x = 10 + -2 Combine like terms: 10 + -2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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