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Simplifying x + 45 = 4(5 + -1x) Reorder the terms: 45 + x = 4(5 + -1x) 45 + x = (5 * 4 + -1x * 4) 45 + x = (20 + -4x) Solving 45 + x = 20 + -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 + x + 4x = 20 + -4x + 4x Combine like terms: x + 4x = 5x 45 + 5x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 45 + 5x = 20 + 0 45 + 5x = 20 Add '-45' to each side of the equation. 45 + -45 + 5x = 20 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 20 + -45 5x = 20 + -45 Combine like terms: 20 + -45 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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