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Simplifying -8(3x + -4) = 4(5x + -50) + -3 Reorder the terms: -8(-4 + 3x) = 4(5x + -50) + -3 (-4 * -8 + 3x * -8) = 4(5x + -50) + -3 (32 + -24x) = 4(5x + -50) + -3 Reorder the terms: 32 + -24x = 4(-50 + 5x) + -3 32 + -24x = (-50 * 4 + 5x * 4) + -3 32 + -24x = (-200 + 20x) + -3 Reorder the terms: 32 + -24x = -200 + -3 + 20x Combine like terms: -200 + -3 = -203 32 + -24x = -203 + 20x Solving 32 + -24x = -203 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 32 + -24x + -20x = -203 + 20x + -20x Combine like terms: -24x + -20x = -44x 32 + -44x = -203 + 20x + -20x Combine like terms: 20x + -20x = 0 32 + -44x = -203 + 0 32 + -44x = -203 Add '-32' to each side of the equation. 32 + -32 + -44x = -203 + -32 Combine like terms: 32 + -32 = 0 0 + -44x = -203 + -32 -44x = -203 + -32 Combine like terms: -203 + -32 = -235 -44x = -235 Divide each side by '-44'. x = 5.340909091 Simplifying x = 5.340909091
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