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Simplifying 6x + 10 = 52 + -8x Reorder the terms: 10 + 6x = 52 + -8x Solving 10 + 6x = 52 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 6x + 8x = 52 + -8x + 8x Combine like terms: 6x + 8x = 14x 10 + 14x = 52 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 14x = 52 + 0 10 + 14x = 52 Add '-10' to each side of the equation. 10 + -10 + 14x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 52 + -10 14x = 52 + -10 Combine like terms: 52 + -10 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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