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Simplifying (-4x + 3) * 5 = -2(6 + -4x) Reorder the terms: (3 + -4x) * 5 = -2(6 + -4x) Reorder the terms for easier multiplication: 5(3 + -4x) = -2(6 + -4x) (3 * 5 + -4x * 5) = -2(6 + -4x) (15 + -20x) = -2(6 + -4x) 15 + -20x = (6 * -2 + -4x * -2) 15 + -20x = (-12 + 8x) Solving 15 + -20x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -20x + -8x = -12 + 8x + -8x Combine like terms: -20x + -8x = -28x 15 + -28x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -28x = -12 + 0 15 + -28x = -12 Add '-15' to each side of the equation. 15 + -15 + -28x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -28x = -12 + -15 -28x = -12 + -15 Combine like terms: -12 + -15 = -27 -28x = -27 Divide each side by '-28'. x = 0.9642857143 Simplifying x = 0.9642857143
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