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Simplifying -2x + 12 + 9x + -42 = -6 + 24 + 2x + x Reorder the terms: 12 + -42 + -2x + 9x = -6 + 24 + 2x + x Combine like terms: 12 + -42 = -30 -30 + -2x + 9x = -6 + 24 + 2x + x Combine like terms: -2x + 9x = 7x -30 + 7x = -6 + 24 + 2x + x Combine like terms: -6 + 24 = 18 -30 + 7x = 18 + 2x + x Combine like terms: 2x + x = 3x -30 + 7x = 18 + 3x Solving -30 + 7x = 18 + 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. -30 + 7x + -3x = 18 + 3x + -3x Combine like terms: 7x + -3x = 4x -30 + 4x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 4x = 18 + 0 -30 + 4x = 18 Add '30' to each side of the equation. -30 + 30 + 4x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 18 + 30 4x = 18 + 30 Combine like terms: 18 + 30 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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