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Simplifying 3[10 + -1(4 + -1x)] + (3x + -1) = 5(x + 4) 3[10 + (4 * -1 + -1x * -1)] + (3x + -1) = 5(x + 4) 3[10 + (-4 + 1x)] + (3x + -1) = 5(x + 4) Combine like terms: 10 + -4 = 6 3[6 + 1x] + (3x + -1) = 5(x + 4) [6 * 3 + 1x * 3] + (3x + -1) = 5(x + 4) [18 + 3x] + (3x + -1) = 5(x + 4) Reorder the terms: 18 + 3x + (-1 + 3x) = 5(x + 4) Remove parenthesis around (-1 + 3x) 18 + 3x + -1 + 3x = 5(x + 4) Reorder the terms: 18 + -1 + 3x + 3x = 5(x + 4) Combine like terms: 18 + -1 = 17 17 + 3x + 3x = 5(x + 4) Combine like terms: 3x + 3x = 6x 17 + 6x = 5(x + 4) Reorder the terms: 17 + 6x = 5(4 + x) 17 + 6x = (4 * 5 + x * 5) 17 + 6x = (20 + 5x) Solving 17 + 6x = 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. 17 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 17 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 1x = 20 + 0 17 + 1x = 20 Add '-17' to each side of the equation. 17 + -17 + 1x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 20 + -17 1x = 20 + -17 Combine like terms: 20 + -17 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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