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Simplifying 67 + -1(5x + 10) = 5(x + 7) + x Reorder the terms: 67 + -1(10 + 5x) = 5(x + 7) + x 67 + (10 * -1 + 5x * -1) = 5(x + 7) + x 67 + (-10 + -5x) = 5(x + 7) + x Combine like terms: 67 + -10 = 57 57 + -5x = 5(x + 7) + x Reorder the terms: 57 + -5x = 5(7 + x) + x 57 + -5x = (7 * 5 + x * 5) + x 57 + -5x = (35 + 5x) + x Combine like terms: 5x + x = 6x 57 + -5x = 35 + 6x Solving 57 + -5x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 57 + -5x + -6x = 35 + 6x + -6x Combine like terms: -5x + -6x = -11x 57 + -11x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 57 + -11x = 35 + 0 57 + -11x = 35 Add '-57' to each side of the equation. 57 + -57 + -11x = 35 + -57 Combine like terms: 57 + -57 = 0 0 + -11x = 35 + -57 -11x = 35 + -57 Combine like terms: 35 + -57 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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