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Simplifying 8(3x + -1) = 3(x + 2) Reorder the terms: 8(-1 + 3x) = 3(x + 2) (-1 * 8 + 3x * 8) = 3(x + 2) (-8 + 24x) = 3(x + 2) Reorder the terms: -8 + 24x = 3(2 + x) -8 + 24x = (2 * 3 + x * 3) -8 + 24x = (6 + 3x) Solving -8 + 24x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 24x + -3x = 6 + 3x + -3x Combine like terms: 24x + -3x = 21x -8 + 21x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 21x = 6 + 0 -8 + 21x = 6 Add '8' to each side of the equation. -8 + 8 + 21x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = 6 + 8 21x = 6 + 8 Combine like terms: 6 + 8 = 14 21x = 14 Divide each side by '21'. x = 0.6666666667 Simplifying x = 0.6666666667
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