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Simplifying 0 = 3(x + -7) + -4(5 + -2x) Reorder the terms: 0 = 3(-7 + x) + -4(5 + -2x) 0 = (-7 * 3 + x * 3) + -4(5 + -2x) 0 = (-21 + 3x) + -4(5 + -2x) 0 = -21 + 3x + (5 * -4 + -2x * -4) 0 = -21 + 3x + (-20 + 8x) Reorder the terms: 0 = -21 + -20 + 3x + 8x Combine like terms: -21 + -20 = -41 0 = -41 + 3x + 8x Combine like terms: 3x + 8x = 11x 0 = -41 + 11x Solving 0 = -41 + 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 = -41 + 11x + -11x Remove the zero: -11x = -41 + 11x + -11x Combine like terms: 11x + -11x = 0 -11x = -41 + 0 -11x = -41 Divide each side by '-11'. x = 3.727272727 Simplifying x = 3.727272727
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