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Simplifying 3(x + -11x + 7) + -5(x + 9x + -7) = 0 Reorder the terms: 3(7 + x + -11x) + -5(x + 9x + -7) = 0 Combine like terms: x + -11x = -10x 3(7 + -10x) + -5(x + 9x + -7) = 0 (7 * 3 + -10x * 3) + -5(x + 9x + -7) = 0 (21 + -30x) + -5(x + 9x + -7) = 0 Reorder the terms: 21 + -30x + -5(-7 + x + 9x) = 0 Combine like terms: x + 9x = 10x 21 + -30x + -5(-7 + 10x) = 0 21 + -30x + (-7 * -5 + 10x * -5) = 0 21 + -30x + (35 + -50x) = 0 Reorder the terms: 21 + 35 + -30x + -50x = 0 Combine like terms: 21 + 35 = 56 56 + -30x + -50x = 0 Combine like terms: -30x + -50x = -80x 56 + -80x = 0 Solving 56 + -80x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -80x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -80x = 0 + -56 -80x = 0 + -56 Combine like terms: 0 + -56 = -56 -80x = -56 Divide each side by '-80'. x = 0.7 Simplifying x = 0.7
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