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Simplifying 10x + 12 = 3(3x + 18) Reorder the terms: 12 + 10x = 3(3x + 18) Reorder the terms: 12 + 10x = 3(18 + 3x) 12 + 10x = (18 * 3 + 3x * 3) 12 + 10x = (54 + 9x) Solving 12 + 10x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 10x + -9x = 54 + 9x + -9x Combine like terms: 10x + -9x = 1x 12 + 1x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 1x = 54 + 0 12 + 1x = 54 Add '-12' to each side of the equation. 12 + -12 + 1x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 54 + -12 1x = 54 + -12 Combine like terms: 54 + -12 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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