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Simplifying 4(x + -2) + 3(2 + -1x) = 5x + -1 Reorder the terms: 4(-2 + x) + 3(2 + -1x) = 5x + -1 (-2 * 4 + x * 4) + 3(2 + -1x) = 5x + -1 (-8 + 4x) + 3(2 + -1x) = 5x + -1 -8 + 4x + (2 * 3 + -1x * 3) = 5x + -1 -8 + 4x + (6 + -3x) = 5x + -1 Reorder the terms: -8 + 6 + 4x + -3x = 5x + -1 Combine like terms: -8 + 6 = -2 -2 + 4x + -3x = 5x + -1 Combine like terms: 4x + -3x = 1x -2 + 1x = 5x + -1 Reorder the terms: -2 + 1x = -1 + 5x Solving -2 + 1x = -1 + 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. -2 + 1x + -5x = -1 + 5x + -5x Combine like terms: 1x + -5x = -4x -2 + -4x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = -1 + 0 -2 + -4x = -1 Add '2' to each side of the equation. -2 + 2 + -4x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -1 + 2 -4x = -1 + 2 Combine like terms: -1 + 2 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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