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Simplifying (5x + -12) * 2 + 8x = 10x Reorder the terms: (-12 + 5x) * 2 + 8x = 10x Reorder the terms for easier multiplication: 2(-12 + 5x) + 8x = 10x (-12 * 2 + 5x * 2) + 8x = 10x (-24 + 10x) + 8x = 10x Combine like terms: 10x + 8x = 18x -24 + 18x = 10x Solving -24 + 18x = 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 + 18x + -10x = 10x + -10x Combine like terms: 18x + -10x = 8x -24 + 8x = 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 8x = 0 Add '24' to each side of the equation. -24 + 24 + 8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 0 + 24 8x = 0 + 24 Combine like terms: 0 + 24 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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