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Simplifying 3(5x + 5) + -4(x + -7) = 0 Reorder the terms: 3(5 + 5x) + -4(x + -7) = 0 (5 * 3 + 5x * 3) + -4(x + -7) = 0 (15 + 15x) + -4(x + -7) = 0 Reorder the terms: 15 + 15x + -4(-7 + x) = 0 15 + 15x + (-7 * -4 + x * -4) = 0 15 + 15x + (28 + -4x) = 0 Reorder the terms: 15 + 28 + 15x + -4x = 0 Combine like terms: 15 + 28 = 43 43 + 15x + -4x = 0 Combine like terms: 15x + -4x = 11x 43 + 11x = 0 Solving 43 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 11x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 11x = 0 + -43 11x = 0 + -43 Combine like terms: 0 + -43 = -43 11x = -43 Divide each side by '11'. x = -3.909090909 Simplifying x = -3.909090909
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