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Simplifying -4(-2x + 6) = -3 + 5x Reorder the terms: -4(6 + -2x) = -3 + 5x (6 * -4 + -2x * -4) = -3 + 5x (-24 + 8x) = -3 + 5x Solving -24 + 8x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 8x + -5x = -3 + 5x + -5x Combine like terms: 8x + -5x = 3x -24 + 3x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 3x = -3 + 0 -24 + 3x = -3 Add '24' to each side of the equation. -24 + 24 + 3x = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -3 + 24 3x = -3 + 24 Combine like terms: -3 + 24 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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