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Simplifying 3x + -1 = -45 + 7x 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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