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Simplifying 78 + -1(6x + 10) = 6(x + 7) + x Reorder the terms: 78 + -1(10 + 6x) = 6(x + 7) + x 78 + (10 * -1 + 6x * -1) = 6(x + 7) + x 78 + (-10 + -6x) = 6(x + 7) + x Combine like terms: 78 + -10 = 68 68 + -6x = 6(x + 7) + x Reorder the terms: 68 + -6x = 6(7 + x) + x 68 + -6x = (7 * 6 + x * 6) + x 68 + -6x = (42 + 6x) + x Combine like terms: 6x + x = 7x 68 + -6x = 42 + 7x Solving 68 + -6x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 68 + -6x + -7x = 42 + 7x + -7x Combine like terms: -6x + -7x = -13x 68 + -13x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 68 + -13x = 42 + 0 68 + -13x = 42 Add '-68' to each side of the equation. 68 + -68 + -13x = 42 + -68 Combine like terms: 68 + -68 = 0 0 + -13x = 42 + -68 -13x = 42 + -68 Combine like terms: 42 + -68 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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