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Simplifying -1x + 45 = 5x + 3 Reorder the terms: 45 + -1x = 5x + 3 Reorder the terms: 45 + -1x = 3 + 5x Solving 45 + -1x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -1x + -5x = 3 + 5x + -5x Combine like terms: -1x + -5x = -6x 45 + -6x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -6x = 3 + 0 45 + -6x = 3 Add '-45' to each side of the equation. 45 + -45 + -6x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 3 + -45 -6x = 3 + -45 Combine like terms: 3 + -45 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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