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Simplifying 42 = 18x + 4(x + 5) Reorder the terms: 42 = 18x + 4(5 + x) 42 = 18x + (5 * 4 + x * 4) 42 = 18x + (20 + 4x) Reorder the terms: 42 = 20 + 18x + 4x Combine like terms: 18x + 4x = 22x 42 = 20 + 22x Solving 42 = 20 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 42 + -22x = 20 + 22x + -22x Combine like terms: 22x + -22x = 0 42 + -22x = 20 + 0 42 + -22x = 20 Add '-42' to each side of the equation. 42 + -42 + -22x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -22x = 20 + -42 -22x = 20 + -42 Combine like terms: 20 + -42 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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