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Simplifying 4(-5 + -6x) = 4(10x + 3) (-5 * 4 + -6x * 4) = 4(10x + 3) (-20 + -24x) = 4(10x + 3) Reorder the terms: -20 + -24x = 4(3 + 10x) -20 + -24x = (3 * 4 + 10x * 4) -20 + -24x = (12 + 40x) Solving -20 + -24x = 12 + 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. -20 + -24x + -40x = 12 + 40x + -40x Combine like terms: -24x + -40x = -64x -20 + -64x = 12 + 40x + -40x Combine like terms: 40x + -40x = 0 -20 + -64x = 12 + 0 -20 + -64x = 12 Add '20' to each side of the equation. -20 + 20 + -64x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -64x = 12 + 20 -64x = 12 + 20 Combine like terms: 12 + 20 = 32 -64x = 32 Divide each side by '-64'. x = -0.5 Simplifying x = -0.5
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