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Simplifying 2(5x + 1) = 12x + -2 Reorder the terms: 2(1 + 5x) = 12x + -2 (1 * 2 + 5x * 2) = 12x + -2 (2 + 10x) = 12x + -2 Reorder the terms: 2 + 10x = -2 + 12x Solving 2 + 10x = -2 + 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. 2 + 10x + -12x = -2 + 12x + -12x Combine like terms: 10x + -12x = -2x 2 + -2x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -2x = -2 + 0 2 + -2x = -2 Add '-2' to each side of the equation. 2 + -2 + -2x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -2 + -2 -2x = -2 + -2 Combine like terms: -2 + -2 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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