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Simplifying 12x + 26 = 18x + -24 + -10x + -14 Reorder the terms: 26 + 12x = 18x + -24 + -10x + -14 Reorder the terms: 26 + 12x = -24 + -14 + 18x + -10x Combine like terms: -24 + -14 = -38 26 + 12x = -38 + 18x + -10x Combine like terms: 18x + -10x = 8x 26 + 12x = -38 + 8x Solving 26 + 12x = -38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + 12x + -8x = -38 + 8x + -8x Combine like terms: 12x + -8x = 4x 26 + 4x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + 4x = -38 + 0 26 + 4x = -38 Add '-26' to each side of the equation. 26 + -26 + 4x = -38 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = -38 + -26 4x = -38 + -26 Combine like terms: -38 + -26 = -64 4x = -64 Divide each side by '4'. x = -16 Simplifying x = -16
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