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