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Simplifying 6(6x + 2) + -8(6x + -3) = -60 Reorder the terms: 6(2 + 6x) + -8(6x + -3) = -60 (2 * 6 + 6x * 6) + -8(6x + -3) = -60 (12 + 36x) + -8(6x + -3) = -60 Reorder the terms: 12 + 36x + -8(-3 + 6x) = -60 12 + 36x + (-3 * -8 + 6x * -8) = -60 12 + 36x + (24 + -48x) = -60 Reorder the terms: 12 + 24 + 36x + -48x = -60 Combine like terms: 12 + 24 = 36 36 + 36x + -48x = -60 Combine like terms: 36x + -48x = -12x 36 + -12x = -60 Solving 36 + -12x = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -12x = -60 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = -60 + -36 -12x = -60 + -36 Combine like terms: -60 + -36 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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