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Simplifying 2(3x + -8) = 3(x + 4) Reorder the terms: 2(-8 + 3x) = 3(x + 4) (-8 * 2 + 3x * 2) = 3(x + 4) (-16 + 6x) = 3(x + 4) Reorder the terms: -16 + 6x = 3(4 + x) -16 + 6x = (4 * 3 + x * 3) -16 + 6x = (12 + 3x) Solving -16 + 6x = 12 + 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. -16 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -16 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 3x = 12 + 0 -16 + 3x = 12 Add '16' to each side of the equation. -16 + 16 + 3x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 12 + 16 3x = 12 + 16 Combine like terms: 12 + 16 = 28 3x = 28 Divide each side by '3'. x = 9.333333333 Simplifying x = 9.333333333
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