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Simplifying 2(x + -3) + 5(x + -1) = 3(x + -2) Reorder the terms: 2(-3 + x) + 5(x + -1) = 3(x + -2) (-3 * 2 + x * 2) + 5(x + -1) = 3(x + -2) (-6 + 2x) + 5(x + -1) = 3(x + -2) Reorder the terms: -6 + 2x + 5(-1 + x) = 3(x + -2) -6 + 2x + (-1 * 5 + x * 5) = 3(x + -2) -6 + 2x + (-5 + 5x) = 3(x + -2) Reorder the terms: -6 + -5 + 2x + 5x = 3(x + -2) Combine like terms: -6 + -5 = -11 -11 + 2x + 5x = 3(x + -2) Combine like terms: 2x + 5x = 7x -11 + 7x = 3(x + -2) Reorder the terms: -11 + 7x = 3(-2 + x) -11 + 7x = (-2 * 3 + x * 3) -11 + 7x = (-6 + 3x) Solving -11 + 7x = -6 + 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. -11 + 7x + -3x = -6 + 3x + -3x Combine like terms: 7x + -3x = 4x -11 + 4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 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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