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Simplifying 4(2x + -6) = 10x Reorder the terms: 4(-6 + 2x) = 10x (-6 * 4 + 2x * 4) = 10x (-24 + 8x) = 10x Solving -24 + 8x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 8x + -10x = 10x + -10x Combine like terms: 8x + -10x = -2x -24 + -2x = 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -2x = 0 Add '24' to each side of the equation. -24 + 24 + -2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 0 + 24 -2x = 0 + 24 Combine like terms: 0 + 24 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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