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Simplifying 6x + 10 = x + 45 Reorder the terms: 10 + 6x = x + 45 Reorder the terms: 10 + 6x = 45 + x Solving 10 + 6x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 6x + -1x = 45 + x + -1x Combine like terms: 6x + -1x = 5x 10 + 5x = 45 + x + -1x Combine like terms: x + -1x = 0 10 + 5x = 45 + 0 10 + 5x = 45 Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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