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Simplifying (42 + x) = 3(10 + x) Remove parenthesis around (42 + x) 42 + x = 3(10 + x) 42 + x = (10 * 3 + x * 3) 42 + x = (30 + 3x) Solving 42 + x = 30 + 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 = 30 + 3x + -3x Combine like terms: x + -3x = -2x 42 + -2x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -2x = 30 + 0 42 + -2x = 30 Add '-42' to each side of the equation. 42 + -42 + -2x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 30 + -42 -2x = 30 + -42 Combine like terms: 30 + -42 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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