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Simplifying 10(x + 1) = 12x Reorder the terms: 10(1 + x) = 12x (1 * 10 + x * 10) = 12x (10 + 10x) = 12x Solving 10 + 10x = 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 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x 10 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 10 + -2x = 0 Add '-10' to each side of the equation. 10 + -10 + -2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 0 + -10 -2x = 0 + -10 Combine like terms: 0 + -10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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