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Simplifying 2(x + -3) + -5(4x + -3) = 26 + -6(5x + 4) Reorder the terms: 2(-3 + x) + -5(4x + -3) = 26 + -6(5x + 4) (-3 * 2 + x * 2) + -5(4x + -3) = 26 + -6(5x + 4) (-6 + 2x) + -5(4x + -3) = 26 + -6(5x + 4) Reorder the terms: -6 + 2x + -5(-3 + 4x) = 26 + -6(5x + 4) -6 + 2x + (-3 * -5 + 4x * -5) = 26 + -6(5x + 4) -6 + 2x + (15 + -20x) = 26 + -6(5x + 4) Reorder the terms: -6 + 15 + 2x + -20x = 26 + -6(5x + 4) Combine like terms: -6 + 15 = 9 9 + 2x + -20x = 26 + -6(5x + 4) Combine like terms: 2x + -20x = -18x 9 + -18x = 26 + -6(5x + 4) Reorder the terms: 9 + -18x = 26 + -6(4 + 5x) 9 + -18x = 26 + (4 * -6 + 5x * -6) 9 + -18x = 26 + (-24 + -30x) Combine like terms: 26 + -24 = 2 9 + -18x = 2 + -30x Solving 9 + -18x = 2 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 9 + -18x + 30x = 2 + -30x + 30x Combine like terms: -18x + 30x = 12x 9 + 12x = 2 + -30x + 30x Combine like terms: -30x + 30x = 0 9 + 12x = 2 + 0 9 + 12x = 2 Add '-9' to each side of the equation. 9 + -9 + 12x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 2 + -9 12x = 2 + -9 Combine like terms: 2 + -9 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333
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