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