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Simplifying 60(x + -6) = 36(x + 6) Reorder the terms: 60(-6 + x) = 36(x + 6) (-6 * 60 + x * 60) = 36(x + 6) (-360 + 60x) = 36(x + 6) Reorder the terms: -360 + 60x = 36(6 + x) -360 + 60x = (6 * 36 + x * 36) -360 + 60x = (216 + 36x) Solving -360 + 60x = 216 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -360 + 60x + -36x = 216 + 36x + -36x Combine like terms: 60x + -36x = 24x -360 + 24x = 216 + 36x + -36x Combine like terms: 36x + -36x = 0 -360 + 24x = 216 + 0 -360 + 24x = 216 Add '360' to each side of the equation. -360 + 360 + 24x = 216 + 360 Combine like terms: -360 + 360 = 0 0 + 24x = 216 + 360 24x = 216 + 360 Combine like terms: 216 + 360 = 576 24x = 576 Divide each side by '24'. x = 24 Simplifying x = 24
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