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Simplifying 42 = 7(x + 5) Reorder the terms: 42 = 7(5 + x) 42 = (5 * 7 + x * 7) 42 = (35 + 7x) Solving 42 = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + -7x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -7x = 35 + 0 42 + -7x = 35 Add '-42' to each side of the equation. 42 + -42 + -7x = 35 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 35 + -42 -7x = 35 + -42 Combine like terms: 35 + -42 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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