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Simplifying 7(10 + -2x) = 72 + -6(2x + 1) (10 * 7 + -2x * 7) = 72 + -6(2x + 1) (70 + -14x) = 72 + -6(2x + 1) Reorder the terms: 70 + -14x = 72 + -6(1 + 2x) 70 + -14x = 72 + (1 * -6 + 2x * -6) 70 + -14x = 72 + (-6 + -12x) Combine like terms: 72 + -6 = 66 70 + -14x = 66 + -12x Solving 70 + -14x = 66 + -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. 70 + -14x + 12x = 66 + -12x + 12x Combine like terms: -14x + 12x = -2x 70 + -2x = 66 + -12x + 12x Combine like terms: -12x + 12x = 0 70 + -2x = 66 + 0 70 + -2x = 66 Add '-70' to each side of the equation. 70 + -70 + -2x = 66 + -70 Combine like terms: 70 + -70 = 0 0 + -2x = 66 + -70 -2x = 66 + -70 Combine like terms: 66 + -70 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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