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Simplifying x + 42 = 3(x + 8) Reorder the terms: 42 + x = 3(x + 8) Reorder the terms: 42 + x = 3(8 + x) 42 + x = (8 * 3 + x * 3) 42 + x = (24 + 3x) Solving 42 + x = 24 + 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 = 24 + 3x + -3x Combine like terms: x + -3x = -2x 42 + -2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -2x = 24 + 0 42 + -2x = 24 Add '-42' to each side of the equation. 42 + -42 + -2x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 24 + -42 -2x = 24 + -42 Combine like terms: 24 + -42 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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