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Simplifying -1(x + 4) = 3(x + 5) Reorder the terms: -1(4 + x) = 3(x + 5) (4 * -1 + x * -1) = 3(x + 5) (-4 + -1x) = 3(x + 5) Reorder the terms: -4 + -1x = 3(5 + x) -4 + -1x = (5 * 3 + x * 3) -4 + -1x = (15 + 3x) Solving -4 + -1x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -1x + -3x = 15 + 3x + -3x Combine like terms: -1x + -3x = -4x -4 + -4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -4x = 15 + 0 -4 + -4x = 15 Add '4' to each side of the equation. -4 + 4 + -4x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 15 + 4 -4x = 15 + 4 Combine like terms: 15 + 4 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75
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