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Simplifying 3(x + 5) + 2x = 4x + -9 Reorder the terms: 3(5 + x) + 2x = 4x + -9 (5 * 3 + x * 3) + 2x = 4x + -9 (15 + 3x) + 2x = 4x + -9 Combine like terms: 3x + 2x = 5x 15 + 5x = 4x + -9 Reorder the terms: 15 + 5x = -9 + 4x Solving 15 + 5x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = -9 + 0 15 + 1x = -9 Add '-15' to each side of the equation. 15 + -15 + 1x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -9 + -15 1x = -9 + -15 Combine like terms: -9 + -15 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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