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Simplifying 24x + 8 + -10x + 14 = 12x + -2x + 8x + 34 Reorder the terms: 8 + 14 + 24x + -10x = 12x + -2x + 8x + 34 Combine like terms: 8 + 14 = 22 22 + 24x + -10x = 12x + -2x + 8x + 34 Combine like terms: 24x + -10x = 14x 22 + 14x = 12x + -2x + 8x + 34 Reorder the terms: 22 + 14x = 34 + 12x + -2x + 8x Combine like terms: 12x + -2x = 10x 22 + 14x = 34 + 10x + 8x Combine like terms: 10x + 8x = 18x 22 + 14x = 34 + 18x Solving 22 + 14x = 34 + 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. 22 + 14x + -18x = 34 + 18x + -18x Combine like terms: 14x + -18x = -4x 22 + -4x = 34 + 18x + -18x Combine like terms: 18x + -18x = 0 22 + -4x = 34 + 0 22 + -4x = 34 Add '-22' to each side of the equation. 22 + -22 + -4x = 34 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 34 + -22 -4x = 34 + -22 Combine like terms: 34 + -22 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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