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Simplifying 4(2x + -3) + -8 = 9 + -1(5x + -6) Reorder the terms: 4(-3 + 2x) + -8 = 9 + -1(5x + -6) (-3 * 4 + 2x * 4) + -8 = 9 + -1(5x + -6) (-12 + 8x) + -8 = 9 + -1(5x + -6) Reorder the terms: -12 + -8 + 8x = 9 + -1(5x + -6) Combine like terms: -12 + -8 = -20 -20 + 8x = 9 + -1(5x + -6) Reorder the terms: -20 + 8x = 9 + -1(-6 + 5x) -20 + 8x = 9 + (-6 * -1 + 5x * -1) -20 + 8x = 9 + (6 + -5x) Combine like terms: 9 + 6 = 15 -20 + 8x = 15 + -5x Solving -20 + 8x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -20 + 8x + 5x = 15 + -5x + 5x Combine like terms: 8x + 5x = 13x -20 + 13x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -20 + 13x = 15 + 0 -20 + 13x = 15 Add '20' to each side of the equation. -20 + 20 + 13x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 15 + 20 13x = 15 + 20 Combine like terms: 15 + 20 = 35 13x = 35 Divide each side by '13'. x = 2.692307692 Simplifying x = 2.692307692
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