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Simplifying 10x + 7 = 3x + 49 Reorder the terms: 7 + 10x = 3x + 49 Reorder the terms: 7 + 10x = 49 + 3x Solving 7 + 10x = 49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 10x + -3x = 49 + 3x + -3x Combine like terms: 10x + -3x = 7x 7 + 7x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 7x = 49 + 0 7 + 7x = 49 Add '-7' to each side of the equation. 7 + -7 + 7x = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 49 + -7 7x = 49 + -7 Combine like terms: 49 + -7 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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