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Simplifying 4(-3x + 2) = -8(5x + -4) + 9 Reorder the terms: 4(2 + -3x) = -8(5x + -4) + 9 (2 * 4 + -3x * 4) = -8(5x + -4) + 9 (8 + -12x) = -8(5x + -4) + 9 Reorder the terms: 8 + -12x = -8(-4 + 5x) + 9 8 + -12x = (-4 * -8 + 5x * -8) + 9 8 + -12x = (32 + -40x) + 9 Reorder the terms: 8 + -12x = 32 + 9 + -40x Combine like terms: 32 + 9 = 41 8 + -12x = 41 + -40x Solving 8 + -12x = 41 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 8 + -12x + 40x = 41 + -40x + 40x Combine like terms: -12x + 40x = 28x 8 + 28x = 41 + -40x + 40x Combine like terms: -40x + 40x = 0 8 + 28x = 41 + 0 8 + 28x = 41 Add '-8' to each side of the equation. 8 + -8 + 28x = 41 + -8 Combine like terms: 8 + -8 = 0 0 + 28x = 41 + -8 28x = 41 + -8 Combine like terms: 41 + -8 = 33 28x = 33 Divide each side by '28'. x = 1.178571429 Simplifying x = 1.178571429
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