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Simplifying 5(x + 3) = 2x + 42 Reorder the terms: 5(3 + x) = 2x + 42 (3 * 5 + x * 5) = 2x + 42 (15 + 5x) = 2x + 42 Reorder the terms: 15 + 5x = 42 + 2x Solving 15 + 5x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 5x + -2x = 42 + 2x + -2x Combine like terms: 5x + -2x = 3x 15 + 3x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 3x = 42 + 0 15 + 3x = 42 Add '-15' to each side of the equation. 15 + -15 + 3x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 42 + -15 3x = 42 + -15 Combine like terms: 42 + -15 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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