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Simplifying 5(x + -7) + 15(x + 11) = 0 Reorder the terms: 5(-7 + x) + 15(x + 11) = 0 (-7 * 5 + x * 5) + 15(x + 11) = 0 (-35 + 5x) + 15(x + 11) = 0 Reorder the terms: -35 + 5x + 15(11 + x) = 0 -35 + 5x + (11 * 15 + x * 15) = 0 -35 + 5x + (165 + 15x) = 0 Reorder the terms: -35 + 165 + 5x + 15x = 0 Combine like terms: -35 + 165 = 130 130 + 5x + 15x = 0 Combine like terms: 5x + 15x = 20x 130 + 20x = 0 Solving 130 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + 20x = 0 + -130 Combine like terms: 130 + -130 = 0 0 + 20x = 0 + -130 20x = 0 + -130 Combine like terms: 0 + -130 = -130 20x = -130 Divide each side by '20'. x = -6.5 Simplifying x = -6.5
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