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Simplifying 3(4x + -5) + 8x = 2x + -9(2x + -1) Reorder the terms: 3(-5 + 4x) + 8x = 2x + -9(2x + -1) (-5 * 3 + 4x * 3) + 8x = 2x + -9(2x + -1) (-15 + 12x) + 8x = 2x + -9(2x + -1) Combine like terms: 12x + 8x = 20x -15 + 20x = 2x + -9(2x + -1) Reorder the terms: -15 + 20x = 2x + -9(-1 + 2x) -15 + 20x = 2x + (-1 * -9 + 2x * -9) -15 + 20x = 2x + (9 + -18x) Reorder the terms: -15 + 20x = 9 + 2x + -18x Combine like terms: 2x + -18x = -16x -15 + 20x = 9 + -16x Solving -15 + 20x = 9 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -15 + 20x + 16x = 9 + -16x + 16x Combine like terms: 20x + 16x = 36x -15 + 36x = 9 + -16x + 16x Combine like terms: -16x + 16x = 0 -15 + 36x = 9 + 0 -15 + 36x = 9 Add '15' to each side of the equation. -15 + 15 + 36x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 36x = 9 + 15 36x = 9 + 15 Combine like terms: 9 + 15 = 24 36x = 24 Divide each side by '36'. x = 0.6666666667 Simplifying x = 0.6666666667
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