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Simplifying 86 + -1(6x + 10) = 6(x + 4) + x Reorder the terms: 86 + -1(10 + 6x) = 6(x + 4) + x 86 + (10 * -1 + 6x * -1) = 6(x + 4) + x 86 + (-10 + -6x) = 6(x + 4) + x Combine like terms: 86 + -10 = 76 76 + -6x = 6(x + 4) + x Reorder the terms: 76 + -6x = 6(4 + x) + x 76 + -6x = (4 * 6 + x * 6) + x 76 + -6x = (24 + 6x) + x Combine like terms: 6x + x = 7x 76 + -6x = 24 + 7x Solving 76 + -6x = 24 + 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. 76 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x 76 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 76 + -13x = 24 + 0 76 + -13x = 24 Add '-76' to each side of the equation. 76 + -76 + -13x = 24 + -76 Combine like terms: 76 + -76 = 0 0 + -13x = 24 + -76 -13x = 24 + -76 Combine like terms: 24 + -76 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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