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Simplifying 3(x + 5) + -3 = 42 + -3x Reorder the terms: 3(5 + x) + -3 = 42 + -3x (5 * 3 + x * 3) + -3 = 42 + -3x (15 + 3x) + -3 = 42 + -3x Reorder the terms: 15 + -3 + 3x = 42 + -3x Combine like terms: 15 + -3 = 12 12 + 3x = 42 + -3x Solving 12 + 3x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 3x + 3x = 42 + -3x + 3x Combine like terms: 3x + 3x = 6x 12 + 6x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 6x = 42 + 0 12 + 6x = 42 Add '-12' to each side of the equation. 12 + -12 + 6x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 42 + -12 6x = 42 + -12 Combine like terms: 42 + -12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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