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Simplifying -4(-5x + 8) = 7(-6 + 2x) Reorder the terms: -4(8 + -5x) = 7(-6 + 2x) (8 * -4 + -5x * -4) = 7(-6 + 2x) (-32 + 20x) = 7(-6 + 2x) -32 + 20x = (-6 * 7 + 2x * 7) -32 + 20x = (-42 + 14x) Solving -32 + 20x = -42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -32 + 20x + -14x = -42 + 14x + -14x Combine like terms: 20x + -14x = 6x -32 + 6x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 -32 + 6x = -42 + 0 -32 + 6x = -42 Add '32' to each side of the equation. -32 + 32 + 6x = -42 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = -42 + 32 6x = -42 + 32 Combine like terms: -42 + 32 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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