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Simplifying -3(x + 3) + 5(x + -2) = -2(x + 4) Reorder the terms: -3(3 + x) + 5(x + -2) = -2(x + 4) (3 * -3 + x * -3) + 5(x + -2) = -2(x + 4) (-9 + -3x) + 5(x + -2) = -2(x + 4) Reorder the terms: -9 + -3x + 5(-2 + x) = -2(x + 4) -9 + -3x + (-2 * 5 + x * 5) = -2(x + 4) -9 + -3x + (-10 + 5x) = -2(x + 4) Reorder the terms: -9 + -10 + -3x + 5x = -2(x + 4) Combine like terms: -9 + -10 = -19 -19 + -3x + 5x = -2(x + 4) Combine like terms: -3x + 5x = 2x -19 + 2x = -2(x + 4) Reorder the terms: -19 + 2x = -2(4 + x) -19 + 2x = (4 * -2 + x * -2) -19 + 2x = (-8 + -2x) Solving -19 + 2x = -8 + -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. -19 + 2x + 2x = -8 + -2x + 2x Combine like terms: 2x + 2x = 4x -19 + 4x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -19 + 4x = -8 + 0 -19 + 4x = -8 Add '19' to each side of the equation. -19 + 19 + 4x = -8 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = -8 + 19 4x = -8 + 19 Combine like terms: -8 + 19 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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