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Simplifying 2x + 3(x + -1) = 8(x + 3) Reorder the terms: 2x + 3(-1 + x) = 8(x + 3) 2x + (-1 * 3 + x * 3) = 8(x + 3) 2x + (-3 + 3x) = 8(x + 3) Reorder the terms: -3 + 2x + 3x = 8(x + 3) Combine like terms: 2x + 3x = 5x -3 + 5x = 8(x + 3) Reorder the terms: -3 + 5x = 8(3 + x) -3 + 5x = (3 * 8 + x * 8) -3 + 5x = (24 + 8x) Solving -3 + 5x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 5x + -8x = 24 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = 24 + 0 -3 + -3x = 24 Add '3' to each side of the equation. -3 + 3 + -3x = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 24 + 3 -3x = 24 + 3 Combine like terms: 24 + 3 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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