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Simplifying 2(x + -3) + 3(x + 2) = x + -5 Reorder the terms: 2(-3 + x) + 3(x + 2) = x + -5 (-3 * 2 + x * 2) + 3(x + 2) = x + -5 (-6 + 2x) + 3(x + 2) = x + -5 Reorder the terms: -6 + 2x + 3(2 + x) = x + -5 -6 + 2x + (2 * 3 + x * 3) = x + -5 -6 + 2x + (6 + 3x) = x + -5 Reorder the terms: -6 + 6 + 2x + 3x = x + -5 Combine like terms: -6 + 6 = 0 0 + 2x + 3x = x + -5 2x + 3x = x + -5 Combine like terms: 2x + 3x = 5x 5x = x + -5 Reorder the terms: 5x = -5 + x Solving 5x = -5 + 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. 5x + -1x = -5 + x + -1x Combine like terms: 5x + -1x = 4x 4x = -5 + x + -1x Combine like terms: x + -1x = 0 4x = -5 + 0 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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