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Simplifying 5 + 9x = 45 + x Solving 5 + 9x = 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. 5 + 9x + -1x = 45 + x + -1x Combine like terms: 9x + -1x = 8x 5 + 8x = 45 + x + -1x Combine like terms: x + -1x = 0 5 + 8x = 45 + 0 5 + 8x = 45 Add '-5' to each side of the equation. 5 + -5 + 8x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 45 + -5 8x = 45 + -5 Combine like terms: 45 + -5 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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