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Simplifying 3(x + 2) + 4(5 + -1x) = 5(x + 4) Reorder the terms: 3(2 + x) + 4(5 + -1x) = 5(x + 4) (2 * 3 + x * 3) + 4(5 + -1x) = 5(x + 4) (6 + 3x) + 4(5 + -1x) = 5(x + 4) 6 + 3x + (5 * 4 + -1x * 4) = 5(x + 4) 6 + 3x + (20 + -4x) = 5(x + 4) Reorder the terms: 6 + 20 + 3x + -4x = 5(x + 4) Combine like terms: 6 + 20 = 26 26 + 3x + -4x = 5(x + 4) Combine like terms: 3x + -4x = -1x 26 + -1x = 5(x + 4) Reorder the terms: 26 + -1x = 5(4 + x) 26 + -1x = (4 * 5 + x * 5) 26 + -1x = (20 + 5x) Solving 26 + -1x = 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. 26 + -1x + -5x = 20 + 5x + -5x Combine like terms: -1x + -5x = -6x 26 + -6x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -6x = 20 + 0 26 + -6x = 20 Add '-26' to each side of the equation. 26 + -26 + -6x = 20 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = 20 + -26 -6x = 20 + -26 Combine like terms: 20 + -26 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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