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Simplifying 3(x + -2) + -5(x + -2) = 23 Reorder the terms: 3(-2 + x) + -5(x + -2) = 23 (-2 * 3 + x * 3) + -5(x + -2) = 23 (-6 + 3x) + -5(x + -2) = 23 Reorder the terms: -6 + 3x + -5(-2 + x) = 23 -6 + 3x + (-2 * -5 + x * -5) = 23 -6 + 3x + (10 + -5x) = 23 Reorder the terms: -6 + 10 + 3x + -5x = 23 Combine like terms: -6 + 10 = 4 4 + 3x + -5x = 23 Combine like terms: 3x + -5x = -2x 4 + -2x = 23 Solving 4 + -2x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2x = 23 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 23 + -4 -2x = 23 + -4 Combine like terms: 23 + -4 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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