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