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Simplifying 3x + -30 = 2(18 + -1x) + -6 Reorder the terms: -30 + 3x = 2(18 + -1x) + -6 -30 + 3x = (18 * 2 + -1x * 2) + -6 -30 + 3x = (36 + -2x) + -6 Reorder the terms: -30 + 3x = 36 + -6 + -2x Combine like terms: 36 + -6 = 30 -30 + 3x = 30 + -2x Solving -30 + 3x = 30 + -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. -30 + 3x + 2x = 30 + -2x + 2x Combine like terms: 3x + 2x = 5x -30 + 5x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 5x = 30 + 0 -30 + 5x = 30 Add '30' to each side of the equation. -30 + 30 + 5x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 30 + 30 5x = 30 + 30 Combine like terms: 30 + 30 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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