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Simplifying 7x + 45 = 2x + 130 Reorder the terms: 45 + 7x = 2x + 130 Reorder the terms: 45 + 7x = 130 + 2x Solving 45 + 7x = 130 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 7x + -2x = 130 + 2x + -2x Combine like terms: 7x + -2x = 5x 45 + 5x = 130 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 5x = 130 + 0 45 + 5x = 130 Add '-45' to each side of the equation. 45 + -45 + 5x = 130 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 130 + -45 5x = 130 + -45 Combine like terms: 130 + -45 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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