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Simplifying 42 + x = 3(12 + x) 42 + x = (12 * 3 + x * 3) 42 + x = (36 + 3x) Solving 42 + x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + x + -3x = 36 + 3x + -3x Combine like terms: x + -3x = -2x 42 + -2x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -2x = 36 + 0 42 + -2x = 36 Add '-42' to each side of the equation. 42 + -42 + -2x = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 36 + -42 -2x = 36 + -42 Combine like terms: 36 + -42 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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