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Simplifying 6x + 45 = x + -5 Reorder the terms: 45 + 6x = x + -5 Reorder the terms: 45 + 6x = -5 + x Solving 45 + 6x = -5 + 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. 45 + 6x + -1x = -5 + x + -1x Combine like terms: 6x + -1x = 5x 45 + 5x = -5 + x + -1x Combine like terms: x + -1x = 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 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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