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Simplifying -24 + 8x = 6x + -4(x + -6) Reorder the terms: -24 + 8x = 6x + -4(-6 + x) -24 + 8x = 6x + (-6 * -4 + x * -4) -24 + 8x = 6x + (24 + -4x) Reorder the terms: -24 + 8x = 24 + 6x + -4x Combine like terms: 6x + -4x = 2x -24 + 8x = 24 + 2x Solving -24 + 8x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 8x + -2x = 24 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = 24 + 0 -24 + 6x = 24 Add '24' to each side of the equation. -24 + 24 + 6x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 24 + 24 6x = 24 + 24 Combine like terms: 24 + 24 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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