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Simplifying 2(x + -4) + 4(2 + -1x) = 5x + -4(x + 1) Reorder the terms: 2(-4 + x) + 4(2 + -1x) = 5x + -4(x + 1) (-4 * 2 + x * 2) + 4(2 + -1x) = 5x + -4(x + 1) (-8 + 2x) + 4(2 + -1x) = 5x + -4(x + 1) -8 + 2x + (2 * 4 + -1x * 4) = 5x + -4(x + 1) -8 + 2x + (8 + -4x) = 5x + -4(x + 1) Reorder the terms: -8 + 8 + 2x + -4x = 5x + -4(x + 1) Combine like terms: -8 + 8 = 0 0 + 2x + -4x = 5x + -4(x + 1) 2x + -4x = 5x + -4(x + 1) Combine like terms: 2x + -4x = -2x -2x = 5x + -4(x + 1) Reorder the terms: -2x = 5x + -4(1 + x) -2x = 5x + (1 * -4 + x * -4) -2x = 5x + (-4 + -4x) Reorder the terms: -2x = -4 + 5x + -4x Combine like terms: 5x + -4x = 1x -2x = -4 + 1x Solving -2x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2x + -1x = -4 + 1x + -1x Combine like terms: -2x + -1x = -3x -3x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -3x = -4 + 0 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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