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Simplifying 8x + -4 + 4x + 28 = 5x + 10 Reorder the terms: -4 + 28 + 8x + 4x = 5x + 10 Combine like terms: -4 + 28 = 24 24 + 8x + 4x = 5x + 10 Combine like terms: 8x + 4x = 12x 24 + 12x = 5x + 10 Reorder the terms: 24 + 12x = 10 + 5x Solving 24 + 12x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 12x + -5x = 10 + 5x + -5x Combine like terms: 12x + -5x = 7x 24 + 7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 7x = 10 + 0 24 + 7x = 10 Add '-24' to each side of the equation. 24 + -24 + 7x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 10 + -24 7x = 10 + -24 Combine like terms: 10 + -24 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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