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Simplifying x + 45 = 7x Reorder the terms: 45 + x = 7x Solving 45 + x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + x + -7x = 7x + -7x Combine like terms: x + -7x = -6x 45 + -6x = 7x + -7x Combine like terms: 7x + -7x = 0 45 + -6x = 0 Add '-45' to each side of the equation. 45 + -45 + -6x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 0 + -45 -6x = 0 + -45 Combine like terms: 0 + -45 = -45 -6x = -45 Divide each side by '-6'. x = 7.5 Simplifying x = 7.5
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