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Simplifying -4(2x + 6) = 8(5x + -3) Reorder the terms: -4(6 + 2x) = 8(5x + -3) (6 * -4 + 2x * -4) = 8(5x + -3) (-24 + -8x) = 8(5x + -3) Reorder the terms: -24 + -8x = 8(-3 + 5x) -24 + -8x = (-3 * 8 + 5x * 8) -24 + -8x = (-24 + 40x) Add '24' to each side of the equation. -24 + 24 + -8x = -24 + 24 + 40x Combine like terms: -24 + 24 = 0 0 + -8x = -24 + 24 + 40x -8x = -24 + 24 + 40x Combine like terms: -24 + 24 = 0 -8x = 0 + 40x -8x = 40x Solving -8x = 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. -8x + -40x = 40x + -40x Combine like terms: -8x + -40x = -48x -48x = 40x + -40x Combine like terms: 40x + -40x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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