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Simplifying -5x + 8 + 10x = -14 + 2x + 4 Reorder the terms: 8 + -5x + 10x = -14 + 2x + 4 Combine like terms: -5x + 10x = 5x 8 + 5x = -14 + 2x + 4 Reorder the terms: 8 + 5x = -14 + 4 + 2x Combine like terms: -14 + 4 = -10 8 + 5x = -10 + 2x Solving 8 + 5x = -10 + 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. 8 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = -10 + 0 8 + 3x = -10 Add '-8' to each side of the equation. 8 + -8 + 3x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -10 + -8 3x = -10 + -8 Combine like terms: -10 + -8 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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