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Simplifying 10x + 60 = 12x + -30 Reorder the terms: 60 + 10x = 12x + -30 Reorder the terms: 60 + 10x = -30 + 12x Solving 60 + 10x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 60 + 10x + -12x = -30 + 12x + -12x Combine like terms: 10x + -12x = -2x 60 + -2x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 60 + -2x = -30 + 0 60 + -2x = -30 Add '-60' to each side of the equation. 60 + -60 + -2x = -30 + -60 Combine like terms: 60 + -60 = 0 0 + -2x = -30 + -60 -2x = -30 + -60 Combine like terms: -30 + -60 = -90 -2x = -90 Divide each side by '-2'. x = 45 Simplifying x = 45
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