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Simplifying 45 + 3x = 5x + 2x + 1 Reorder the terms: 45 + 3x = 1 + 5x + 2x Combine like terms: 5x + 2x = 7x 45 + 3x = 1 + 7x Solving 45 + 3x = 1 + 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 + 3x + -7x = 1 + 7x + -7x Combine like terms: 3x + -7x = -4x 45 + -4x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -4x = 1 + 0 45 + -4x = 1 Add '-45' to each side of the equation. 45 + -45 + -4x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 1 + -45 -4x = 1 + -45 Combine like terms: 1 + -45 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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