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Simplifying 6(x + -3) + 5(x + -7) = -20 Reorder the terms: 6(-3 + x) + 5(x + -7) = -20 (-3 * 6 + x * 6) + 5(x + -7) = -20 (-18 + 6x) + 5(x + -7) = -20 Reorder the terms: -18 + 6x + 5(-7 + x) = -20 -18 + 6x + (-7 * 5 + x * 5) = -20 -18 + 6x + (-35 + 5x) = -20 Reorder the terms: -18 + -35 + 6x + 5x = -20 Combine like terms: -18 + -35 = -53 -53 + 6x + 5x = -20 Combine like terms: 6x + 5x = 11x -53 + 11x = -20 Solving -53 + 11x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 11x = -20 + 53 Combine like terms: -53 + 53 = 0 0 + 11x = -20 + 53 11x = -20 + 53 Combine like terms: -20 + 53 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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