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Simplifying 4(3x + 1) + -1(2x + -5) + 16 = 2(3x + 1) + (2x + -5) Reorder the terms: 4(1 + 3x) + -1(2x + -5) + 16 = 2(3x + 1) + (2x + -5) (1 * 4 + 3x * 4) + -1(2x + -5) + 16 = 2(3x + 1) + (2x + -5) (4 + 12x) + -1(2x + -5) + 16 = 2(3x + 1) + (2x + -5) Reorder the terms: 4 + 12x + -1(-5 + 2x) + 16 = 2(3x + 1) + (2x + -5) 4 + 12x + (-5 * -1 + 2x * -1) + 16 = 2(3x + 1) + (2x + -5) 4 + 12x + (5 + -2x) + 16 = 2(3x + 1) + (2x + -5) Reorder the terms: 4 + 5 + 16 + 12x + -2x = 2(3x + 1) + (2x + -5) Combine like terms: 4 + 5 = 9 9 + 16 + 12x + -2x = 2(3x + 1) + (2x + -5) Combine like terms: 9 + 16 = 25 25 + 12x + -2x = 2(3x + 1) + (2x + -5) Combine like terms: 12x + -2x = 10x 25 + 10x = 2(3x + 1) + (2x + -5) Reorder the terms: 25 + 10x = 2(1 + 3x) + (2x + -5) 25 + 10x = (1 * 2 + 3x * 2) + (2x + -5) 25 + 10x = (2 + 6x) + (2x + -5) Reorder the terms: 25 + 10x = 2 + 6x + (-5 + 2x) Remove parenthesis around (-5 + 2x) 25 + 10x = 2 + 6x + -5 + 2x Reorder the terms: 25 + 10x = 2 + -5 + 6x + 2x Combine like terms: 2 + -5 = -3 25 + 10x = -3 + 6x + 2x Combine like terms: 6x + 2x = 8x 25 + 10x = -3 + 8x Solving 25 + 10x = -3 + 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. 25 + 10x + -8x = -3 + 8x + -8x Combine like terms: 10x + -8x = 2x 25 + 2x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 2x = -3 + 0 25 + 2x = -3 Add '-25' to each side of the equation. 25 + -25 + 2x = -3 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = -3 + -25 2x = -3 + -25 Combine like terms: -3 + -25 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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