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Simplifying 4(9 + -2x) + 3(x + -4) = 3x (9 * 4 + -2x * 4) + 3(x + -4) = 3x (36 + -8x) + 3(x + -4) = 3x Reorder the terms: 36 + -8x + 3(-4 + x) = 3x 36 + -8x + (-4 * 3 + x * 3) = 3x 36 + -8x + (-12 + 3x) = 3x Reorder the terms: 36 + -12 + -8x + 3x = 3x Combine like terms: 36 + -12 = 24 24 + -8x + 3x = 3x Combine like terms: -8x + 3x = -5x 24 + -5x = 3x Solving 24 + -5x = 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 + -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x 24 + -8x = 3x + -3x Combine like terms: 3x + -3x = 0 24 + -8x = 0 Add '-24' to each side of the equation. 24 + -24 + -8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 0 + -24 -8x = 0 + -24 Combine like terms: 0 + -24 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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