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Simplifying 10(2x + -9) + -5 = 10(x + -8) + (5) Reorder the terms: 10(-9 + 2x) + -5 = 10(x + -8) + (5) (-9 * 10 + 2x * 10) + -5 = 10(x + -8) + (5) (-90 + 20x) + -5 = 10(x + -8) + (5) Reorder the terms: -90 + -5 + 20x = 10(x + -8) + (5) Combine like terms: -90 + -5 = -95 -95 + 20x = 10(x + -8) + (5) Reorder the terms: -95 + 20x = 10(-8 + x) + (5) -95 + 20x = (-8 * 10 + x * 10) + (5) -95 + 20x = (-80 + 10x) + (5) -95 + 20x = -80 + 10x + 5 Reorder the terms: -95 + 20x = -80 + 5 + 10x Combine like terms: -80 + 5 = -75 -95 + 20x = -75 + 10x Solving -95 + 20x = -75 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -95 + 20x + -10x = -75 + 10x + -10x Combine like terms: 20x + -10x = 10x -95 + 10x = -75 + 10x + -10x Combine like terms: 10x + -10x = 0 -95 + 10x = -75 + 0 -95 + 10x = -75 Add '95' to each side of the equation. -95 + 95 + 10x = -75 + 95 Combine like terms: -95 + 95 = 0 0 + 10x = -75 + 95 10x = -75 + 95 Combine like terms: -75 + 95 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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