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Simplifying -3(x + 2) + 5(x + -1) = -2(x + 3) Reorder the terms: -3(2 + x) + 5(x + -1) = -2(x + 3) (2 * -3 + x * -3) + 5(x + -1) = -2(x + 3) (-6 + -3x) + 5(x + -1) = -2(x + 3) Reorder the terms: -6 + -3x + 5(-1 + x) = -2(x + 3) -6 + -3x + (-1 * 5 + x * 5) = -2(x + 3) -6 + -3x + (-5 + 5x) = -2(x + 3) Reorder the terms: -6 + -5 + -3x + 5x = -2(x + 3) Combine like terms: -6 + -5 = -11 -11 + -3x + 5x = -2(x + 3) Combine like terms: -3x + 5x = 2x -11 + 2x = -2(x + 3) Reorder the terms: -11 + 2x = -2(3 + x) -11 + 2x = (3 * -2 + x * -2) -11 + 2x = (-6 + -2x) Solving -11 + 2x = -6 + -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. -11 + 2x + 2x = -6 + -2x + 2x Combine like terms: 2x + 2x = 4x -11 + 4x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 4x = -6 + 0 -11 + 4x = -6 Add '11' to each side of the equation. -11 + 11 + 4x = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = -6 + 11 4x = -6 + 11 Combine like terms: -6 + 11 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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