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Simplifying ((x + 3) * 5) + -8 = 42 Reorder the terms: ((3 + x) * 5) + -8 = 42 Reorder the terms for easier multiplication: (5(3 + x)) + -8 = 42 ((3 * 5 + x * 5)) + -8 = 42 ((15 + 5x)) + -8 = 42 (15 + 5x) + -8 = 42 Remove parenthesis around (15 + 5x) 15 + 5x + -8 = 42 Reorder the terms: 15 + -8 + 5x = 42 Combine like terms: 15 + -8 = 7 7 + 5x = 42 Solving 7 + 5x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 42 + -7 5x = 42 + -7 Combine like terms: 42 + -7 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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