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Simplifying -1x + 45 = 4x + 5 Reorder the terms: 45 + -1x = 4x + 5 Reorder the terms: 45 + -1x = 5 + 4x Solving 45 + -1x = 5 + 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 + -1x + -4x = 5 + 4x + -4x Combine like terms: -1x + -4x = -5x 45 + -5x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -5x = 5 + 0 45 + -5x = 5 Add '-45' to each side of the equation. 45 + -45 + -5x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = 5 + -45 -5x = 5 + -45 Combine like terms: 5 + -45 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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