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Simplifying 2x + 3x + 45 = 4x + 7x + 5 Reorder the terms: 45 + 2x + 3x = 4x + 7x + 5 Combine like terms: 2x + 3x = 5x 45 + 5x = 4x + 7x + 5 Reorder the terms: 45 + 5x = 5 + 4x + 7x Combine like terms: 4x + 7x = 11x 45 + 5x = 5 + 11x Solving 45 + 5x = 5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 45 + 5x + -11x = 5 + 11x + -11x Combine like terms: 5x + -11x = -6x 45 + -6x = 5 + 11x + -11x Combine like terms: 11x + -11x = 0 45 + -6x = 5 + 0 45 + -6x = 5 Add '-45' to each side of the equation. 45 + -45 + -6x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 5 + -45 -6x = 5 + -45 Combine like terms: 5 + -45 = -40 -6x = -40 Divide each side by '-6'. x = 6.666666667 Simplifying x = 6.666666667
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