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Simplifying 18x + -24 + -10x + -2 = 6x + 12 Reorder the terms: -24 + -2 + 18x + -10x = 6x + 12 Combine like terms: -24 + -2 = -26 -26 + 18x + -10x = 6x + 12 Combine like terms: 18x + -10x = 8x -26 + 8x = 6x + 12 Reorder the terms: -26 + 8x = 12 + 6x Solving -26 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -26 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -26 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -26 + 2x = 12 + 0 -26 + 2x = 12 Add '26' to each side of the equation. -26 + 26 + 2x = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 12 + 26 2x = 12 + 26 Combine like terms: 12 + 26 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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