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Simplifying -1x + -30 = -6x + 40 Reorder the terms: -30 + -1x = -6x + 40 Reorder the terms: -30 + -1x = 40 + -6x Solving -30 + -1x = 40 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + -1x + 6x = 40 + -6x + 6x Combine like terms: -1x + 6x = 5x -30 + 5x = 40 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 5x = 40 + 0 -30 + 5x = 40 Add '30' to each side of the equation. -30 + 30 + 5x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 40 + 30 5x = 40 + 30 Combine like terms: 40 + 30 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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