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Simplifying 3x + 2(x + 5) = 4x + -9 Reorder the terms: 3x + 2(5 + x) = 4x + -9 3x + (5 * 2 + x * 2) = 4x + -9 3x + (10 + 2x) = 4x + -9 Reorder the terms: 10 + 3x + 2x = 4x + -9 Combine like terms: 3x + 2x = 5x 10 + 5x = 4x + -9 Reorder the terms: 10 + 5x = -9 + 4x Solving 10 + 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. 10 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x 10 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 1x = -9 + 0 10 + 1x = -9 Add '-10' to each side of the equation. 10 + -10 + 1x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -9 + -10 1x = -9 + -10 Combine like terms: -9 + -10 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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