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Simplifying 5(2x + -7) + -1(4x + -5) = -10(2x + -1) Reorder the terms: 5(-7 + 2x) + -1(4x + -5) = -10(2x + -1) (-7 * 5 + 2x * 5) + -1(4x + -5) = -10(2x + -1) (-35 + 10x) + -1(4x + -5) = -10(2x + -1) Reorder the terms: -35 + 10x + -1(-5 + 4x) = -10(2x + -1) -35 + 10x + (-5 * -1 + 4x * -1) = -10(2x + -1) -35 + 10x + (5 + -4x) = -10(2x + -1) Reorder the terms: -35 + 5 + 10x + -4x = -10(2x + -1) Combine like terms: -35 + 5 = -30 -30 + 10x + -4x = -10(2x + -1) Combine like terms: 10x + -4x = 6x -30 + 6x = -10(2x + -1) Reorder the terms: -30 + 6x = -10(-1 + 2x) -30 + 6x = (-1 * -10 + 2x * -10) -30 + 6x = (10 + -20x) Solving -30 + 6x = 10 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -30 + 6x + 20x = 10 + -20x + 20x Combine like terms: 6x + 20x = 26x -30 + 26x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 -30 + 26x = 10 + 0 -30 + 26x = 10 Add '30' to each side of the equation. -30 + 30 + 26x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 26x = 10 + 30 26x = 10 + 30 Combine like terms: 10 + 30 = 40 26x = 40 Divide each side by '26'. x = 1.538461538 Simplifying x = 1.538461538
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