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Simplifying 2(x + 4) + 10 = 12x + -2 Reorder the terms: 2(4 + x) + 10 = 12x + -2 (4 * 2 + x * 2) + 10 = 12x + -2 (8 + 2x) + 10 = 12x + -2 Reorder the terms: 8 + 10 + 2x = 12x + -2 Combine like terms: 8 + 10 = 18 18 + 2x = 12x + -2 Reorder the terms: 18 + 2x = -2 + 12x Solving 18 + 2x = -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. 18 + 2x + -12x = -2 + 12x + -12x Combine like terms: 2x + -12x = -10x 18 + -10x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -10x = -2 + 0 18 + -10x = -2 Add '-18' to each side of the equation. 18 + -18 + -10x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -2 + -18 -10x = -2 + -18 Combine like terms: -2 + -18 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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