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Simplifying -2(x + 4) + 5x = 3(4 + -1x) + 2x Reorder the terms: -2(4 + x) + 5x = 3(4 + -1x) + 2x (4 * -2 + x * -2) + 5x = 3(4 + -1x) + 2x (-8 + -2x) + 5x = 3(4 + -1x) + 2x Combine like terms: -2x + 5x = 3x -8 + 3x = 3(4 + -1x) + 2x -8 + 3x = (4 * 3 + -1x * 3) + 2x -8 + 3x = (12 + -3x) + 2x Combine like terms: -3x + 2x = -1x -8 + 3x = 12 + -1x Solving -8 + 3x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 3x + x = 12 + -1x + x Combine like terms: 3x + x = 4x -8 + 4x = 12 + -1x + x Combine like terms: -1x + x = 0 -8 + 4x = 12 + 0 -8 + 4x = 12 Add '8' to each side of the equation. -8 + 8 + 4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 12 + 8 4x = 12 + 8 Combine like terms: 12 + 8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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