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Simplifying 3(x + 8) = 3(4x + -1) Reorder the terms: 3(8 + x) = 3(4x + -1) (8 * 3 + x * 3) = 3(4x + -1) (24 + 3x) = 3(4x + -1) Reorder the terms: 24 + 3x = 3(-1 + 4x) 24 + 3x = (-1 * 3 + 4x * 3) 24 + 3x = (-3 + 12x) Solving 24 + 3x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 3x + -12x = -3 + 12x + -12x Combine like terms: 3x + -12x = -9x 24 + -9x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -9x = -3 + 0 24 + -9x = -3 Add '-24' to each side of the equation. 24 + -24 + -9x = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -3 + -24 -9x = -3 + -24 Combine like terms: -3 + -24 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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