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Simplifying 10 + -1(2x + -3) + -5(-4x + 7) = -2(-1x + -5) Reorder the terms: 10 + -1(-3 + 2x) + -5(-4x + 7) = -2(-1x + -5) 10 + (-3 * -1 + 2x * -1) + -5(-4x + 7) = -2(-1x + -5) 10 + (3 + -2x) + -5(-4x + 7) = -2(-1x + -5) Reorder the terms: 10 + 3 + -2x + -5(7 + -4x) = -2(-1x + -5) 10 + 3 + -2x + (7 * -5 + -4x * -5) = -2(-1x + -5) 10 + 3 + -2x + (-35 + 20x) = -2(-1x + -5) Reorder the terms: 10 + 3 + -35 + -2x + 20x = -2(-1x + -5) Combine like terms: 10 + 3 = 13 13 + -35 + -2x + 20x = -2(-1x + -5) Combine like terms: 13 + -35 = -22 -22 + -2x + 20x = -2(-1x + -5) Combine like terms: -2x + 20x = 18x -22 + 18x = -2(-1x + -5) Reorder the terms: -22 + 18x = -2(-5 + -1x) -22 + 18x = (-5 * -2 + -1x * -2) -22 + 18x = (10 + 2x) Solving -22 + 18x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -22 + 18x + -2x = 10 + 2x + -2x Combine like terms: 18x + -2x = 16x -22 + 16x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 16x = 10 + 0 -22 + 16x = 10 Add '22' to each side of the equation. -22 + 22 + 16x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 16x = 10 + 22 16x = 10 + 22 Combine like terms: 10 + 22 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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