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Simplifying -3x + -42 + 10x + 12 = 18(x + 2) Reorder the terms: -42 + 12 + -3x + 10x = 18(x + 2) Combine like terms: -42 + 12 = -30 -30 + -3x + 10x = 18(x + 2) Combine like terms: -3x + 10x = 7x -30 + 7x = 18(x + 2) Reorder the terms: -30 + 7x = 18(2 + x) -30 + 7x = (2 * 18 + x * 18) -30 + 7x = (36 + 18x) Solving -30 + 7x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -30 + 7x + -18x = 36 + 18x + -18x Combine like terms: 7x + -18x = -11x -30 + -11x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -30 + -11x = 36 + 0 -30 + -11x = 36 Add '30' to each side of the equation. -30 + 30 + -11x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -11x = 36 + 30 -11x = 36 + 30 Combine like terms: 36 + 30 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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