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Simplifying 5x + 2 + -2x = 10x + -12 Reorder the terms: 2 + 5x + -2x = 10x + -12 Combine like terms: 5x + -2x = 3x 2 + 3x = 10x + -12 Reorder the terms: 2 + 3x = -12 + 10x Solving 2 + 3x = -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. 2 + 3x + -10x = -12 + 10x + -10x Combine like terms: 3x + -10x = -7x 2 + -7x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -7x = -12 + 0 2 + -7x = -12 Add '-2' to each side of the equation. 2 + -2 + -7x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -12 + -2 -7x = -12 + -2 Combine like terms: -12 + -2 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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