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