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Simplifying -2x + 42 = 3(x + 9) Reorder the terms: 42 + -2x = 3(x + 9) Reorder the terms: 42 + -2x = 3(9 + x) 42 + -2x = (9 * 3 + x * 3) 42 + -2x = (27 + 3x) Solving 42 + -2x = 27 + 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 + -2x + -3x = 27 + 3x + -3x Combine like terms: -2x + -3x = -5x 42 + -5x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -5x = 27 + 0 42 + -5x = 27 Add '-42' to each side of the equation. 42 + -42 + -5x = 27 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 27 + -42 -5x = 27 + -42 Combine like terms: 27 + -42 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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