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Simplifying 78 + -1(5x + 10) = 5(x + 7) + x Reorder the terms: 78 + -1(10 + 5x) = 5(x + 7) + x 78 + (10 * -1 + 5x * -1) = 5(x + 7) + x 78 + (-10 + -5x) = 5(x + 7) + x Combine like terms: 78 + -10 = 68 68 + -5x = 5(x + 7) + x Reorder the terms: 68 + -5x = 5(7 + x) + x 68 + -5x = (7 * 5 + x * 5) + x 68 + -5x = (35 + 5x) + x Combine like terms: 5x + x = 6x 68 + -5x = 35 + 6x Solving 68 + -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. 68 + -5x + -6x = 35 + 6x + -6x Combine like terms: -5x + -6x = -11x 68 + -11x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 68 + -11x = 35 + 0 68 + -11x = 35 Add '-68' to each side of the equation. 68 + -68 + -11x = 35 + -68 Combine like terms: 68 + -68 = 0 0 + -11x = 35 + -68 -11x = 35 + -68 Combine like terms: 35 + -68 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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