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Simplifying 45 = -7x + 3x + 1 Reorder the terms: 45 = 1 + -7x + 3x Combine like terms: -7x + 3x = -4x 45 = 1 + -4x Solving 45 = 1 + -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 + 4x = 1 + -4x + 4x Combine like terms: -4x + 4x = 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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