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