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Simplifying 6x + 30 = 5x + -45 Reorder the terms: 30 + 6x = 5x + -45 Reorder the terms: 30 + 6x = -45 + 5x Solving 30 + 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. 30 + 6x + -5x = -45 + 5x + -5x Combine like terms: 6x + -5x = 1x 30 + 1x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 1x = -45 + 0 30 + 1x = -45 Add '-30' to each side of the equation. 30 + -30 + 1x = -45 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -45 + -30 1x = -45 + -30 Combine like terms: -45 + -30 = -75 1x = -75 Divide each side by '1'. x = -75 Simplifying x = -75
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