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Simplifying 8x + 5 + -3x = 10 + 4x + 10 Reorder the terms: 5 + 8x + -3x = 10 + 4x + 10 Combine like terms: 8x + -3x = 5x 5 + 5x = 10 + 4x + 10 Reorder the terms: 5 + 5x = 10 + 10 + 4x Combine like terms: 10 + 10 = 20 5 + 5x = 20 + 4x Solving 5 + 5x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 5x + -4x = 20 + 4x + -4x Combine like terms: 5x + -4x = 1x 5 + 1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 1x = 20 + 0 5 + 1x = 20 Add '-5' to each side of the equation. 5 + -5 + 1x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 20 + -5 1x = 20 + -5 Combine like terms: 20 + -5 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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