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Simplifying 6 + 9x = 46 + x Solving 6 + 9x = 46 + 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. 6 + 9x + -1x = 46 + x + -1x Combine like terms: 9x + -1x = 8x 6 + 8x = 46 + x + -1x Combine like terms: x + -1x = 0 6 + 8x = 46 + 0 6 + 8x = 46 Add '-6' to each side of the equation. 6 + -6 + 8x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 46 + -6 8x = 46 + -6 Combine like terms: 46 + -6 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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