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Simplifying 3(4x + -8) = 29 + -3(x + 2) Reorder the terms: 3(-8 + 4x) = 29 + -3(x + 2) (-8 * 3 + 4x * 3) = 29 + -3(x + 2) (-24 + 12x) = 29 + -3(x + 2) Reorder the terms: -24 + 12x = 29 + -3(2 + x) -24 + 12x = 29 + (2 * -3 + x * -3) -24 + 12x = 29 + (-6 + -3x) Combine like terms: 29 + -6 = 23 -24 + 12x = 23 + -3x Solving -24 + 12x = 23 + -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. -24 + 12x + 3x = 23 + -3x + 3x Combine like terms: 12x + 3x = 15x -24 + 15x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 15x = 23 + 0 -24 + 15x = 23 Add '24' to each side of the equation. -24 + 24 + 15x = 23 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 23 + 24 15x = 23 + 24 Combine like terms: 23 + 24 = 47 15x = 47 Divide each side by '15'. x = 3.133333333 Simplifying x = 3.133333333
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