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Simplifying 8(x + -7) + -5(3 + -1x) = 60 + -1(x + -7) * 2 Reorder the terms: 8(-7 + x) + -5(3 + -1x) = 60 + -1(x + -7) * 2 (-7 * 8 + x * 8) + -5(3 + -1x) = 60 + -1(x + -7) * 2 (-56 + 8x) + -5(3 + -1x) = 60 + -1(x + -7) * 2 -56 + 8x + (3 * -5 + -1x * -5) = 60 + -1(x + -7) * 2 -56 + 8x + (-15 + 5x) = 60 + -1(x + -7) * 2 Reorder the terms: -56 + -15 + 8x + 5x = 60 + -1(x + -7) * 2 Combine like terms: -56 + -15 = -71 -71 + 8x + 5x = 60 + -1(x + -7) * 2 Combine like terms: 8x + 5x = 13x -71 + 13x = 60 + -1(x + -7) * 2 Reorder the terms: -71 + 13x = 60 + -1(-7 + x) * 2 Reorder the terms for easier multiplication: -71 + 13x = 60 + -1 * 2(-7 + x) Multiply -1 * 2 -71 + 13x = 60 + -2(-7 + x) -71 + 13x = 60 + (-7 * -2 + x * -2) -71 + 13x = 60 + (14 + -2x) Combine like terms: 60 + 14 = 74 -71 + 13x = 74 + -2x Solving -71 + 13x = 74 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -71 + 13x + 2x = 74 + -2x + 2x Combine like terms: 13x + 2x = 15x -71 + 15x = 74 + -2x + 2x Combine like terms: -2x + 2x = 0 -71 + 15x = 74 + 0 -71 + 15x = 74 Add '71' to each side of the equation. -71 + 71 + 15x = 74 + 71 Combine like terms: -71 + 71 = 0 0 + 15x = 74 + 71 15x = 74 + 71 Combine like terms: 74 + 71 = 145 15x = 145 Divide each side by '15'. x = 9.666666667 Simplifying x = 9.666666667
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