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Simplifying -4(2x + -6) + 8x = 5x + 24 + 4 Reorder the terms: -4(-6 + 2x) + 8x = 5x + 24 + 4 (-6 * -4 + 2x * -4) + 8x = 5x + 24 + 4 (24 + -8x) + 8x = 5x + 24 + 4 Combine like terms: -8x + 8x = 0 24 + 0 = 5x + 24 + 4 24 = 5x + 24 + 4 Reorder the terms: 24 = 24 + 4 + 5x Combine like terms: 24 + 4 = 28 24 = 28 + 5x Solving 24 = 28 + 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 + -5x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -5x = 28 + 0 24 + -5x = 28 Add '-24' to each side of the equation. 24 + -24 + -5x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 28 + -24 -5x = 28 + -24 Combine like terms: 28 + -24 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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