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Simplifying -3x + 45 = 4x + 6 Reorder the terms: 45 + -3x = 4x + 6 Reorder the terms: 45 + -3x = 6 + 4x Solving 45 + -3x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x 45 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -7x = 6 + 0 45 + -7x = 6 Add '-45' to each side of the equation. 45 + -45 + -7x = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 6 + -45 -7x = 6 + -45 Combine like terms: 6 + -45 = -39 -7x = -39 Divide each side by '-7'. x = 5.571428571 Simplifying x = 5.571428571
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