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Simplifying 3(x + -4) = 5(2 + -1x) + 2 Reorder the terms: 3(-4 + x) = 5(2 + -1x) + 2 (-4 * 3 + x * 3) = 5(2 + -1x) + 2 (-12 + 3x) = 5(2 + -1x) + 2 -12 + 3x = (2 * 5 + -1x * 5) + 2 -12 + 3x = (10 + -5x) + 2 Reorder the terms: -12 + 3x = 10 + 2 + -5x Combine like terms: 10 + 2 = 12 -12 + 3x = 12 + -5x Solving -12 + 3x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 3x + 5x = 12 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = 12 + 0 -12 + 8x = 12 Add '12' to each side of the equation. -12 + 12 + 8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 12 + 12 8x = 12 + 12 Combine like terms: 12 + 12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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