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Simplifying 0 = 5(2x + -4) + (x + -7) Reorder the terms: 0 = 5(-4 + 2x) + (x + -7) 0 = (-4 * 5 + 2x * 5) + (x + -7) 0 = (-20 + 10x) + (x + -7) Reorder the terms: 0 = -20 + 10x + (-7 + x) Remove parenthesis around (-7 + x) 0 = -20 + 10x + -7 + x Reorder the terms: 0 = -20 + -7 + 10x + x Combine like terms: -20 + -7 = -27 0 = -27 + 10x + x Combine like terms: 10x + x = 11x 0 = -27 + 11x Solving 0 = -27 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 0 + -11x = -27 + 11x + -11x Remove the zero: -11x = -27 + 11x + -11x Combine like terms: 11x + -11x = 0 -11x = -27 + 0 -11x = -27 Divide each side by '-11'. x = 2.454545455 Simplifying x = 2.454545455
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