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Simplifying 7 + 5(1 + 2x) = -2(5 + 6x) 7 + (1 * 5 + 2x * 5) = -2(5 + 6x) 7 + (5 + 10x) = -2(5 + 6x) Combine like terms: 7 + 5 = 12 12 + 10x = -2(5 + 6x) 12 + 10x = (5 * -2 + 6x * -2) 12 + 10x = (-10 + -12x) Solving 12 + 10x = -10 + -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. 12 + 10x + 12x = -10 + -12x + 12x Combine like terms: 10x + 12x = 22x 12 + 22x = -10 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 22x = -10 + 0 12 + 22x = -10 Add '-12' to each side of the equation. 12 + -12 + 22x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 22x = -10 + -12 22x = -10 + -12 Combine like terms: -10 + -12 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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