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Simplifying -9x + -2(2x + -5) = -4x + -3(6x + 8) Reorder the terms: -9x + -2(-5 + 2x) = -4x + -3(6x + 8) -9x + (-5 * -2 + 2x * -2) = -4x + -3(6x + 8) -9x + (10 + -4x) = -4x + -3(6x + 8) Reorder the terms: 10 + -9x + -4x = -4x + -3(6x + 8) Combine like terms: -9x + -4x = -13x 10 + -13x = -4x + -3(6x + 8) Reorder the terms: 10 + -13x = -4x + -3(8 + 6x) 10 + -13x = -4x + (8 * -3 + 6x * -3) 10 + -13x = -4x + (-24 + -18x) Reorder the terms: 10 + -13x = -24 + -4x + -18x Combine like terms: -4x + -18x = -22x 10 + -13x = -24 + -22x Solving 10 + -13x = -24 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 10 + -13x + 22x = -24 + -22x + 22x Combine like terms: -13x + 22x = 9x 10 + 9x = -24 + -22x + 22x Combine like terms: -22x + 22x = 0 10 + 9x = -24 + 0 10 + 9x = -24 Add '-10' to each side of the equation. 10 + -10 + 9x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = -24 + -10 9x = -24 + -10 Combine like terms: -24 + -10 = -34 9x = -34 Divide each side by '9'. x = -3.777777778 Simplifying x = -3.777777778
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