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Simplifying 0.5((5x + -1) + -1(10x + -1)) = 61 Reorder the terms: 0.5((-1 + 5x) + -1(10x + -1)) = 61 Remove parenthesis around (-1 + 5x) 0.5(-1 + 5x + -1(10x + -1)) = 61 Reorder the terms: 0.5(-1 + 5x + -1(-1 + 10x)) = 61 0.5(-1 + 5x + (-1 * -1 + 10x * -1)) = 61 0.5(-1 + 5x + (1 + -10x)) = 61 Reorder the terms: 0.5(-1 + 1 + 5x + -10x) = 61 Combine like terms: -1 + 1 = 0 0.5(0 + 5x + -10x) = 61 0.5(5x + -10x) = 61 Combine like terms: 5x + -10x = -5x 0.5(-5x) = 61 Remove parenthesis around (-5x) 0.5 * -5x = 61 Multiply 0.5 * -5 -2.5x = 61 Solving -2.5x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2.5'. x = -24.4 Simplifying x = -24.4
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