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Simplifying 3(x + -2) + 5(x + 4) = 5(x + 4) Reorder the terms: 3(-2 + x) + 5(x + 4) = 5(x + 4) (-2 * 3 + x * 3) + 5(x + 4) = 5(x + 4) (-6 + 3x) + 5(x + 4) = 5(x + 4) Reorder the terms: -6 + 3x + 5(4 + x) = 5(x + 4) -6 + 3x + (4 * 5 + x * 5) = 5(x + 4) -6 + 3x + (20 + 5x) = 5(x + 4) Reorder the terms: -6 + 20 + 3x + 5x = 5(x + 4) Combine like terms: -6 + 20 = 14 14 + 3x + 5x = 5(x + 4) Combine like terms: 3x + 5x = 8x 14 + 8x = 5(x + 4) Reorder the terms: 14 + 8x = 5(4 + x) 14 + 8x = (4 * 5 + x * 5) 14 + 8x = (20 + 5x) Solving 14 + 8x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 8x + -5x = 20 + 5x + -5x Combine like terms: 8x + -5x = 3x 14 + 3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 3x = 20 + 0 14 + 3x = 20 Add '-14' to each side of the equation. 14 + -14 + 3x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 20 + -14 3x = 20 + -14 Combine like terms: 20 + -14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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