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Simplifying -24x + 26x = -11 + -1(10x + -20) + (29x + 9) Combine like terms: -24x + 26x = 2x 2x = -11 + -1(10x + -20) + (29x + 9) Reorder the terms: 2x = -11 + -1(-20 + 10x) + (29x + 9) 2x = -11 + (-20 * -1 + 10x * -1) + (29x + 9) 2x = -11 + (20 + -10x) + (29x + 9) Reorder the terms: 2x = -11 + 20 + -10x + (9 + 29x) Remove parenthesis around (9 + 29x) 2x = -11 + 20 + -10x + 9 + 29x Reorder the terms: 2x = -11 + 20 + 9 + -10x + 29x Combine like terms: -11 + 20 = 9 2x = 9 + 9 + -10x + 29x Combine like terms: 9 + 9 = 18 2x = 18 + -10x + 29x Combine like terms: -10x + 29x = 19x 2x = 18 + 19x Solving 2x = 18 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 2x + -19x = 18 + 19x + -19x Combine like terms: 2x + -19x = -17x -17x = 18 + 19x + -19x Combine like terms: 19x + -19x = 0 -17x = 18 + 0 -17x = 18 Divide each side by '-17'. x = -1.058823529 Simplifying x = -1.058823529
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