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Simplifying 12x + -2x + 58 = 12x + 24 Reorder the terms: 58 + 12x + -2x = 12x + 24 Combine like terms: 12x + -2x = 10x 58 + 10x = 12x + 24 Reorder the terms: 58 + 10x = 24 + 12x Solving 58 + 10x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 58 + 10x + -12x = 24 + 12x + -12x Combine like terms: 10x + -12x = -2x 58 + -2x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 58 + -2x = 24 + 0 58 + -2x = 24 Add '-58' to each side of the equation. 58 + -58 + -2x = 24 + -58 Combine like terms: 58 + -58 = 0 0 + -2x = 24 + -58 -2x = 24 + -58 Combine like terms: 24 + -58 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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