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Simplifying 8(x + -1) + 3(x + 8) = 2(x + 5) Reorder the terms: 8(-1 + x) + 3(x + 8) = 2(x + 5) (-1 * 8 + x * 8) + 3(x + 8) = 2(x + 5) (-8 + 8x) + 3(x + 8) = 2(x + 5) Reorder the terms: -8 + 8x + 3(8 + x) = 2(x + 5) -8 + 8x + (8 * 3 + x * 3) = 2(x + 5) -8 + 8x + (24 + 3x) = 2(x + 5) Reorder the terms: -8 + 24 + 8x + 3x = 2(x + 5) Combine like terms: -8 + 24 = 16 16 + 8x + 3x = 2(x + 5) Combine like terms: 8x + 3x = 11x 16 + 11x = 2(x + 5) Reorder the terms: 16 + 11x = 2(5 + x) 16 + 11x = (5 * 2 + x * 2) 16 + 11x = (10 + 2x) Solving 16 + 11x = 10 + 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. 16 + 11x + -2x = 10 + 2x + -2x Combine like terms: 11x + -2x = 9x 16 + 9x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 9x = 10 + 0 16 + 9x = 10 Add '-16' to each side of the equation. 16 + -16 + 9x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 10 + -16 9x = 10 + -16 Combine like terms: 10 + -16 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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