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Simplifying 5x + -1x + -75 = 65 + -6x Reorder the terms: -75 + 5x + -1x = 65 + -6x Combine like terms: 5x + -1x = 4x -75 + 4x = 65 + -6x Solving -75 + 4x = 65 + -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. -75 + 4x + 6x = 65 + -6x + 6x Combine like terms: 4x + 6x = 10x -75 + 10x = 65 + -6x + 6x Combine like terms: -6x + 6x = 0 -75 + 10x = 65 + 0 -75 + 10x = 65 Add '75' to each side of the equation. -75 + 75 + 10x = 65 + 75 Combine like terms: -75 + 75 = 0 0 + 10x = 65 + 75 10x = 65 + 75 Combine like terms: 65 + 75 = 140 10x = 140 Divide each side by '10'. x = 14 Simplifying x = 14
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