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Simplifying 60 = 6(x + 2) + 6(4 + -5x) Reorder the terms: 60 = 6(2 + x) + 6(4 + -5x) 60 = (2 * 6 + x * 6) + 6(4 + -5x) 60 = (12 + 6x) + 6(4 + -5x) 60 = 12 + 6x + (4 * 6 + -5x * 6) 60 = 12 + 6x + (24 + -30x) Reorder the terms: 60 = 12 + 24 + 6x + -30x Combine like terms: 12 + 24 = 36 60 = 36 + 6x + -30x Combine like terms: 6x + -30x = -24x 60 = 36 + -24x Solving 60 = 36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 60 + 24x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 60 + 24x = 36 + 0 60 + 24x = 36 Add '-60' to each side of the equation. 60 + -60 + 24x = 36 + -60 Combine like terms: 60 + -60 = 0 0 + 24x = 36 + -60 24x = 36 + -60 Combine like terms: 36 + -60 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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