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Simplifying -2(x + 1) = 3x + -1(x + 5) Reorder the terms: -2(1 + x) = 3x + -1(x + 5) (1 * -2 + x * -2) = 3x + -1(x + 5) (-2 + -2x) = 3x + -1(x + 5) Reorder the terms: -2 + -2x = 3x + -1(5 + x) -2 + -2x = 3x + (5 * -1 + x * -1) -2 + -2x = 3x + (-5 + -1x) Reorder the terms: -2 + -2x = -5 + 3x + -1x Combine like terms: 3x + -1x = 2x -2 + -2x = -5 + 2x Solving -2 + -2x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -2x + -2x = -5 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = -5 + 0 -2 + -4x = -5 Add '2' to each side of the equation. -2 + 2 + -4x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -5 + 2 -4x = -5 + 2 Combine like terms: -5 + 2 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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