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Simplifying 8(x + -3) + -1(6 + -2x) = 2(x + 2) + -5(5 + -1x) Reorder the terms: 8(-3 + x) + -1(6 + -2x) = 2(x + 2) + -5(5 + -1x) (-3 * 8 + x * 8) + -1(6 + -2x) = 2(x + 2) + -5(5 + -1x) (-24 + 8x) + -1(6 + -2x) = 2(x + 2) + -5(5 + -1x) -24 + 8x + (6 * -1 + -2x * -1) = 2(x + 2) + -5(5 + -1x) -24 + 8x + (-6 + 2x) = 2(x + 2) + -5(5 + -1x) Reorder the terms: -24 + -6 + 8x + 2x = 2(x + 2) + -5(5 + -1x) Combine like terms: -24 + -6 = -30 -30 + 8x + 2x = 2(x + 2) + -5(5 + -1x) Combine like terms: 8x + 2x = 10x -30 + 10x = 2(x + 2) + -5(5 + -1x) Reorder the terms: -30 + 10x = 2(2 + x) + -5(5 + -1x) -30 + 10x = (2 * 2 + x * 2) + -5(5 + -1x) -30 + 10x = (4 + 2x) + -5(5 + -1x) -30 + 10x = 4 + 2x + (5 * -5 + -1x * -5) -30 + 10x = 4 + 2x + (-25 + 5x) Reorder the terms: -30 + 10x = 4 + -25 + 2x + 5x Combine like terms: 4 + -25 = -21 -30 + 10x = -21 + 2x + 5x Combine like terms: 2x + 5x = 7x -30 + 10x = -21 + 7x Solving -30 + 10x = -21 + 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. -30 + 10x + -7x = -21 + 7x + -7x Combine like terms: 10x + -7x = 3x -30 + 3x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 3x = -21 + 0 -30 + 3x = -21 Add '30' to each side of the equation. -30 + 30 + 3x = -21 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -21 + 30 3x = -21 + 30 Combine like terms: -21 + 30 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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