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Simplifying -65(x + 32) = -78(x + 60) Reorder the terms: -65(32 + x) = -78(x + 60) (32 * -65 + x * -65) = -78(x + 60) (-2080 + -65x) = -78(x + 60) Reorder the terms: -2080 + -65x = -78(60 + x) -2080 + -65x = (60 * -78 + x * -78) -2080 + -65x = (-4680 + -78x) Solving -2080 + -65x = -4680 + -78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78x' to each side of the equation. -2080 + -65x + 78x = -4680 + -78x + 78x Combine like terms: -65x + 78x = 13x -2080 + 13x = -4680 + -78x + 78x Combine like terms: -78x + 78x = 0 -2080 + 13x = -4680 + 0 -2080 + 13x = -4680 Add '2080' to each side of the equation. -2080 + 2080 + 13x = -4680 + 2080 Combine like terms: -2080 + 2080 = 0 0 + 13x = -4680 + 2080 13x = -4680 + 2080 Combine like terms: -4680 + 2080 = -2600 13x = -2600 Divide each side by '13'. x = -200 Simplifying x = -200
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