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Simplifying 3x + -2(8x + -9) = 3 + -1(2x + 7) Reorder the terms: 3x + -2(-9 + 8x) = 3 + -1(2x + 7) 3x + (-9 * -2 + 8x * -2) = 3 + -1(2x + 7) 3x + (18 + -16x) = 3 + -1(2x + 7) Reorder the terms: 18 + 3x + -16x = 3 + -1(2x + 7) Combine like terms: 3x + -16x = -13x 18 + -13x = 3 + -1(2x + 7) Reorder the terms: 18 + -13x = 3 + -1(7 + 2x) 18 + -13x = 3 + (7 * -1 + 2x * -1) 18 + -13x = 3 + (-7 + -2x) Combine like terms: 3 + -7 = -4 18 + -13x = -4 + -2x Solving 18 + -13x = -4 + -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. 18 + -13x + 2x = -4 + -2x + 2x Combine like terms: -13x + 2x = -11x 18 + -11x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -11x = -4 + 0 18 + -11x = -4 Add '-18' to each side of the equation. 18 + -18 + -11x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -4 + -18 -11x = -4 + -18 Combine like terms: -4 + -18 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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