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Simplifying 8(3x + -1) = 9 + -1(4x + -5) Reorder the terms: 8(-1 + 3x) = 9 + -1(4x + -5) (-1 * 8 + 3x * 8) = 9 + -1(4x + -5) (-8 + 24x) = 9 + -1(4x + -5) Reorder the terms: -8 + 24x = 9 + -1(-5 + 4x) -8 + 24x = 9 + (-5 * -1 + 4x * -1) -8 + 24x = 9 + (5 + -4x) Combine like terms: 9 + 5 = 14 -8 + 24x = 14 + -4x Solving -8 + 24x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 24x + 4x = 14 + -4x + 4x Combine like terms: 24x + 4x = 28x -8 + 28x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 28x = 14 + 0 -8 + 28x = 14 Add '8' to each side of the equation. -8 + 8 + 28x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 28x = 14 + 8 28x = 14 + 8 Combine like terms: 14 + 8 = 22 28x = 22 Divide each side by '28'. x = 0.7857142857 Simplifying x = 0.7857142857
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