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Simplifying 6(5 + -6x) + -6x = 2(x + -7) (5 * 6 + -6x * 6) + -6x = 2(x + -7) (30 + -36x) + -6x = 2(x + -7) Combine like terms: -36x + -6x = -42x 30 + -42x = 2(x + -7) Reorder the terms: 30 + -42x = 2(-7 + x) 30 + -42x = (-7 * 2 + x * 2) 30 + -42x = (-14 + 2x) Solving 30 + -42x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -42x + -2x = -14 + 2x + -2x Combine like terms: -42x + -2x = -44x 30 + -44x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -44x = -14 + 0 30 + -44x = -14 Add '-30' to each side of the equation. 30 + -30 + -44x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -44x = -14 + -30 -44x = -14 + -30 Combine like terms: -14 + -30 = -44 -44x = -44 Divide each side by '-44'. x = 1 Simplifying x = 1
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