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Simplifying 5x + 8 = 12x + 1 Reorder the terms: 8 + 5x = 12x + 1 Reorder the terms: 8 + 5x = 1 + 12x Solving 8 + 5x = 1 + 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. 8 + 5x + -12x = 1 + 12x + -12x Combine like terms: 5x + -12x = -7x 8 + -7x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -7x = 1 + 0 8 + -7x = 1 Add '-8' to each side of the equation. 8 + -8 + -7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 1 + -8 -7x = 1 + -8 Combine like terms: 1 + -8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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