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Simplifying 7x + -2(x + -6) = 5(8x + -12) + -1(5 + -1x) Reorder the terms: 7x + -2(-6 + x) = 5(8x + -12) + -1(5 + -1x) 7x + (-6 * -2 + x * -2) = 5(8x + -12) + -1(5 + -1x) 7x + (12 + -2x) = 5(8x + -12) + -1(5 + -1x) Reorder the terms: 12 + 7x + -2x = 5(8x + -12) + -1(5 + -1x) Combine like terms: 7x + -2x = 5x 12 + 5x = 5(8x + -12) + -1(5 + -1x) Reorder the terms: 12 + 5x = 5(-12 + 8x) + -1(5 + -1x) 12 + 5x = (-12 * 5 + 8x * 5) + -1(5 + -1x) 12 + 5x = (-60 + 40x) + -1(5 + -1x) 12 + 5x = -60 + 40x + (5 * -1 + -1x * -1) 12 + 5x = -60 + 40x + (-5 + 1x) Reorder the terms: 12 + 5x = -60 + -5 + 40x + 1x Combine like terms: -60 + -5 = -65 12 + 5x = -65 + 40x + 1x Combine like terms: 40x + 1x = 41x 12 + 5x = -65 + 41x Solving 12 + 5x = -65 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. 12 + 5x + -41x = -65 + 41x + -41x Combine like terms: 5x + -41x = -36x 12 + -36x = -65 + 41x + -41x Combine like terms: 41x + -41x = 0 12 + -36x = -65 + 0 12 + -36x = -65 Add '-12' to each side of the equation. 12 + -12 + -36x = -65 + -12 Combine like terms: 12 + -12 = 0 0 + -36x = -65 + -12 -36x = -65 + -12 Combine like terms: -65 + -12 = -77 -36x = -77 Divide each side by '-36'. x = 2.138888889 Simplifying x = 2.138888889
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