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Simplifying 6x + 4x + 12 = 60 + 5x + -1x Reorder the terms: 12 + 6x + 4x = 60 + 5x + -1x Combine like terms: 6x + 4x = 10x 12 + 10x = 60 + 5x + -1x Combine like terms: 5x + -1x = 4x 12 + 10x = 60 + 4x Solving 12 + 10x = 60 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 10x + -4x = 60 + 4x + -4x Combine like terms: 10x + -4x = 6x 12 + 6x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 6x = 60 + 0 12 + 6x = 60 Add '-12' to each side of the equation. 12 + -12 + 6x = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 60 + -12 6x = 60 + -12 Combine like terms: 60 + -12 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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