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Simplifying -2(x + 3) + 5(x + -2) = 3(x + 2) + -2x Reorder the terms: -2(3 + x) + 5(x + -2) = 3(x + 2) + -2x (3 * -2 + x * -2) + 5(x + -2) = 3(x + 2) + -2x (-6 + -2x) + 5(x + -2) = 3(x + 2) + -2x Reorder the terms: -6 + -2x + 5(-2 + x) = 3(x + 2) + -2x -6 + -2x + (-2 * 5 + x * 5) = 3(x + 2) + -2x -6 + -2x + (-10 + 5x) = 3(x + 2) + -2x Reorder the terms: -6 + -10 + -2x + 5x = 3(x + 2) + -2x Combine like terms: -6 + -10 = -16 -16 + -2x + 5x = 3(x + 2) + -2x Combine like terms: -2x + 5x = 3x -16 + 3x = 3(x + 2) + -2x Reorder the terms: -16 + 3x = 3(2 + x) + -2x -16 + 3x = (2 * 3 + x * 3) + -2x -16 + 3x = (6 + 3x) + -2x Combine like terms: 3x + -2x = 1x -16 + 3x = 6 + 1x Solving -16 + 3x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 3x + -1x = 6 + 1x + -1x Combine like terms: 3x + -1x = 2x -16 + 2x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + 2x = 6 + 0 -16 + 2x = 6 Add '16' to each side of the equation. -16 + 16 + 2x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 6 + 16 2x = 6 + 16 Combine like terms: 6 + 16 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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