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Simplifying 2(x + 1) = 6(5 + 2x) Reorder the terms: 2(1 + x) = 6(5 + 2x) (1 * 2 + x * 2) = 6(5 + 2x) (2 + 2x) = 6(5 + 2x) 2 + 2x = (5 * 6 + 2x * 6) 2 + 2x = (30 + 12x) Solving 2 + 2x = 30 + 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 + 2x + -12x = 30 + 12x + -12x Combine like terms: 2x + -12x = -10x 2 + -10x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -10x = 30 + 0 2 + -10x = 30 Add '-2' to each side of the equation. 2 + -2 + -10x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 30 + -2 -10x = 30 + -2 Combine like terms: 30 + -2 = 28 -10x = 28 Divide each side by '-10'. x = -2.8 Simplifying x = -2.8
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