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Simplifying 10 + 6x = 45 + -8x Solving 10 + 6x = 45 + -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 = 45 + -8x + 8x Combine like terms: 6x + 8x = 14x 10 + 14x = 45 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 14x = 45 + 0 10 + 14x = 45 Add '-10' to each side of the equation. 10 + -10 + 14x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 45 + -10 14x = 45 + -10 Combine like terms: 45 + -10 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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