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Simplifying 6x + 2x + -12 = 10x + -24 Reorder the terms: -12 + 6x + 2x = 10x + -24 Combine like terms: 6x + 2x = 8x -12 + 8x = 10x + -24 Reorder the terms: -12 + 8x = -24 + 10x Solving -12 + 8x = -24 + 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. -12 + 8x + -10x = -24 + 10x + -10x Combine like terms: 8x + -10x = -2x -12 + -2x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -2x = -24 + 0 -12 + -2x = -24 Add '12' to each side of the equation. -12 + 12 + -2x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -24 + 12 -2x = -24 + 12 Combine like terms: -24 + 12 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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