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Simplifying 2(x + 42) = 5x Reorder the terms: 2(42 + x) = 5x (42 * 2 + x * 2) = 5x (84 + 2x) = 5x Solving 84 + 2x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 84 + 2x + -5x = 5x + -5x Combine like terms: 2x + -5x = -3x 84 + -3x = 5x + -5x Combine like terms: 5x + -5x = 0 84 + -3x = 0 Add '-84' to each side of the equation. 84 + -84 + -3x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -3x = 0 + -84 -3x = 0 + -84 Combine like terms: 0 + -84 = -84 -3x = -84 Divide each side by '-3'. x = 28 Simplifying x = 28
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