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Simplifying 5(2x + -3(4 + -1x)) + x = 2(3x + -5) 5(2x + (4 * -3 + -1x * -3)) + x = 2(3x + -5) 5(2x + (-12 + 3x)) + x = 2(3x + -5) Reorder the terms: 5(-12 + 2x + 3x) + x = 2(3x + -5) Combine like terms: 2x + 3x = 5x 5(-12 + 5x) + x = 2(3x + -5) (-12 * 5 + 5x * 5) + x = 2(3x + -5) (-60 + 25x) + x = 2(3x + -5) Combine like terms: 25x + x = 26x -60 + 26x = 2(3x + -5) Reorder the terms: -60 + 26x = 2(-5 + 3x) -60 + 26x = (-5 * 2 + 3x * 2) -60 + 26x = (-10 + 6x) Solving -60 + 26x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -60 + 26x + -6x = -10 + 6x + -6x Combine like terms: 26x + -6x = 20x -60 + 20x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 20x = -10 + 0 -60 + 20x = -10 Add '60' to each side of the equation. -60 + 60 + 20x = -10 + 60 Combine like terms: -60 + 60 = 0 0 + 20x = -10 + 60 20x = -10 + 60 Combine like terms: -10 + 60 = 50 20x = 50 Divide each side by '20'. x = 2.5 Simplifying x = 2.5
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