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Simplifying 5x + 10 = 12x + 8 Reorder the terms: 10 + 5x = 12x + 8 Reorder the terms: 10 + 5x = 8 + 12x Solving 10 + 5x = 8 + 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. 10 + 5x + -12x = 8 + 12x + -12x Combine like terms: 5x + -12x = -7x 10 + -7x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -7x = 8 + 0 10 + -7x = 8 Add '-10' to each side of the equation. 10 + -10 + -7x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 8 + -10 -7x = 8 + -10 Combine like terms: 8 + -10 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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