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Simplifying 5x + -3(x + 6) = 8 + -1(x + -7) Reorder the terms: 5x + -3(6 + x) = 8 + -1(x + -7) 5x + (6 * -3 + x * -3) = 8 + -1(x + -7) 5x + (-18 + -3x) = 8 + -1(x + -7) Reorder the terms: -18 + 5x + -3x = 8 + -1(x + -7) Combine like terms: 5x + -3x = 2x -18 + 2x = 8 + -1(x + -7) Reorder the terms: -18 + 2x = 8 + -1(-7 + x) -18 + 2x = 8 + (-7 * -1 + x * -1) -18 + 2x = 8 + (7 + -1x) Combine like terms: 8 + 7 = 15 -18 + 2x = 15 + -1x Solving -18 + 2x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + 2x + x = 15 + -1x + x Combine like terms: 2x + x = 3x -18 + 3x = 15 + -1x + x Combine like terms: -1x + x = 0 -18 + 3x = 15 + 0 -18 + 3x = 15 Add '18' to each side of the equation. -18 + 18 + 3x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 15 + 18 3x = 15 + 18 Combine like terms: 15 + 18 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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