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Simplifying 10 + -1(-4x + 15) = 20(-2x + -5) Reorder the terms: 10 + -1(15 + -4x) = 20(-2x + -5) 10 + (15 * -1 + -4x * -1) = 20(-2x + -5) 10 + (-15 + 4x) = 20(-2x + -5) Combine like terms: 10 + -15 = -5 -5 + 4x = 20(-2x + -5) Reorder the terms: -5 + 4x = 20(-5 + -2x) -5 + 4x = (-5 * 20 + -2x * 20) -5 + 4x = (-100 + -40x) Solving -5 + 4x = -100 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -5 + 4x + 40x = -100 + -40x + 40x Combine like terms: 4x + 40x = 44x -5 + 44x = -100 + -40x + 40x Combine like terms: -40x + 40x = 0 -5 + 44x = -100 + 0 -5 + 44x = -100 Add '5' to each side of the equation. -5 + 5 + 44x = -100 + 5 Combine like terms: -5 + 5 = 0 0 + 44x = -100 + 5 44x = -100 + 5 Combine like terms: -100 + 5 = -95 44x = -95 Divide each side by '44'. x = -2.159090909 Simplifying x = -2.159090909
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