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Simplifying 3(x + 4) + -2 = 4(2x + 5) Reorder the terms: 3(4 + x) + -2 = 4(2x + 5) (4 * 3 + x * 3) + -2 = 4(2x + 5) (12 + 3x) + -2 = 4(2x + 5) Reorder the terms: 12 + -2 + 3x = 4(2x + 5) Combine like terms: 12 + -2 = 10 10 + 3x = 4(2x + 5) Reorder the terms: 10 + 3x = 4(5 + 2x) 10 + 3x = (5 * 4 + 2x * 4) 10 + 3x = (20 + 8x) Solving 10 + 3x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 3x + -8x = 20 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = 20 + 0 10 + -5x = 20 Add '-10' to each side of the equation. 10 + -10 + -5x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 20 + -10 -5x = 20 + -10 Combine like terms: 20 + -10 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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