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Simplifying 5x + -35 = 12x + 30 Reorder the terms: -35 + 5x = 12x + 30 Reorder the terms: -35 + 5x = 30 + 12x Solving -35 + 5x = 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. -35 + 5x + -12x = 30 + 12x + -12x Combine like terms: 5x + -12x = -7x -35 + -7x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -7x = 30 + 0 -35 + -7x = 30 Add '35' to each side of the equation. -35 + 35 + -7x = 30 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 30 + 35 -7x = 30 + 35 Combine like terms: 30 + 35 = 65 -7x = 65 Divide each side by '-7'. x = -9.285714286 Simplifying x = -9.285714286
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