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Simplifying 42 = 6x + 3(2x + -6) Reorder the terms: 42 = 6x + 3(-6 + 2x) 42 = 6x + (-6 * 3 + 2x * 3) 42 = 6x + (-18 + 6x) Reorder the terms: 42 = -18 + 6x + 6x Combine like terms: 6x + 6x = 12x 42 = -18 + 12x Solving 42 = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + -12x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -12x = -18 + 0 42 + -12x = -18 Add '-42' to each side of the equation. 42 + -42 + -12x = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = -18 + -42 -12x = -18 + -42 Combine like terms: -18 + -42 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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