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Simplifying -2(x + 3) + 5(x + -2) = x + -1 Reorder the terms: -2(3 + x) + 5(x + -2) = x + -1 (3 * -2 + x * -2) + 5(x + -2) = x + -1 (-6 + -2x) + 5(x + -2) = x + -1 Reorder the terms: -6 + -2x + 5(-2 + x) = x + -1 -6 + -2x + (-2 * 5 + x * 5) = x + -1 -6 + -2x + (-10 + 5x) = x + -1 Reorder the terms: -6 + -10 + -2x + 5x = x + -1 Combine like terms: -6 + -10 = -16 -16 + -2x + 5x = x + -1 Combine like terms: -2x + 5x = 3x -16 + 3x = x + -1 Reorder the terms: -16 + 3x = -1 + x Solving -16 + 3x = -1 + x 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 = -1 + x + -1x Combine like terms: 3x + -1x = 2x -16 + 2x = -1 + x + -1x Combine like terms: x + -1x = 0 -16 + 2x = -1 + 0 -16 + 2x = -1 Add '16' to each side of the equation. -16 + 16 + 2x = -1 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -1 + 16 2x = -1 + 16 Combine like terms: -1 + 16 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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