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