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Simplifying 10x + 4x + 8 = 8x + 2x + 48 Reorder the terms: 8 + 10x + 4x = 8x + 2x + 48 Combine like terms: 10x + 4x = 14x 8 + 14x = 8x + 2x + 48 Reorder the terms: 8 + 14x = 48 + 8x + 2x Combine like terms: 8x + 2x = 10x 8 + 14x = 48 + 10x Solving 8 + 14x = 48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 14x + -10x = 48 + 10x + -10x Combine like terms: 14x + -10x = 4x 8 + 4x = 48 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 4x = 48 + 0 8 + 4x = 48 Add '-8' to each side of the equation. 8 + -8 + 4x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 48 + -8 4x = 48 + -8 Combine like terms: 48 + -8 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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