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Simplifying 5 + -6x = 45 + -5x Solving 5 + -6x = 45 + -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. 5 + -6x + 5x = 45 + -5x + 5x Combine like terms: -6x + 5x = -1x 5 + -1x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + -1x = 45 + 0 5 + -1x = 45 Add '-5' to each side of the equation. 5 + -5 + -1x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 45 + -5 -1x = 45 + -5 Combine like terms: 45 + -5 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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