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Simplifying 3[10 + -4(4 + -1x)] + (3x + -1) = 5(x + 4) 3[10 + (4 * -4 + -1x * -4)] + (3x + -1) = 5(x + 4) 3[10 + (-16 + 4x)] + (3x + -1) = 5(x + 4) Combine like terms: 10 + -16 = -6 3[-6 + 4x] + (3x + -1) = 5(x + 4) [-6 * 3 + 4x * 3] + (3x + -1) = 5(x + 4) [-18 + 12x] + (3x + -1) = 5(x + 4) Reorder the terms: -18 + 12x + (-1 + 3x) = 5(x + 4) Remove parenthesis around (-1 + 3x) -18 + 12x + -1 + 3x = 5(x + 4) Reorder the terms: -18 + -1 + 12x + 3x = 5(x + 4) Combine like terms: -18 + -1 = -19 -19 + 12x + 3x = 5(x + 4) Combine like terms: 12x + 3x = 15x -19 + 15x = 5(x + 4) Reorder the terms: -19 + 15x = 5(4 + x) -19 + 15x = (4 * 5 + x * 5) -19 + 15x = (20 + 5x) Solving -19 + 15x = 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. -19 + 15x + -5x = 20 + 5x + -5x Combine like terms: 15x + -5x = 10x -19 + 10x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + 10x = 20 + 0 -19 + 10x = 20 Add '19' to each side of the equation. -19 + 19 + 10x = 20 + 19 Combine like terms: -19 + 19 = 0 0 + 10x = 20 + 19 10x = 20 + 19 Combine like terms: 20 + 19 = 39 10x = 39 Divide each side by '10'. x = 3.9 Simplifying x = 3.9
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