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Simplifying 2(x + -3) + 3(x + 5) = 4 Reorder the terms: 2(-3 + x) + 3(x + 5) = 4 (-3 * 2 + x * 2) + 3(x + 5) = 4 (-6 + 2x) + 3(x + 5) = 4 Reorder the terms: -6 + 2x + 3(5 + x) = 4 -6 + 2x + (5 * 3 + x * 3) = 4 -6 + 2x + (15 + 3x) = 4 Reorder the terms: -6 + 15 + 2x + 3x = 4 Combine like terms: -6 + 15 = 9 9 + 2x + 3x = 4 Combine like terms: 2x + 3x = 5x 9 + 5x = 4 Solving 9 + 5x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 4 + -9 5x = 4 + -9 Combine like terms: 4 + -9 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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