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Simplifying 2(x + -3) = 5(x + 2) + -1 Reorder the terms: 2(-3 + x) = 5(x + 2) + -1 (-3 * 2 + x * 2) = 5(x + 2) + -1 (-6 + 2x) = 5(x + 2) + -1 Reorder the terms: -6 + 2x = 5(2 + x) + -1 -6 + 2x = (2 * 5 + x * 5) + -1 -6 + 2x = (10 + 5x) + -1 Reorder the terms: -6 + 2x = 10 + -1 + 5x Combine like terms: 10 + -1 = 9 -6 + 2x = 9 + 5x Solving -6 + 2x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 2x + -5x = 9 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = 9 + 0 -6 + -3x = 9 Add '6' to each side of the equation. -6 + 6 + -3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 9 + 6 -3x = 9 + 6 Combine like terms: 9 + 6 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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