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Simplifying 5(3x + -5) + -5x = 7 + -2x Reorder the terms: 5(-5 + 3x) + -5x = 7 + -2x (-5 * 5 + 3x * 5) + -5x = 7 + -2x (-25 + 15x) + -5x = 7 + -2x Combine like terms: 15x + -5x = 10x -25 + 10x = 7 + -2x Solving -25 + 10x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -25 + 10x + 2x = 7 + -2x + 2x Combine like terms: 10x + 2x = 12x -25 + 12x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -25 + 12x = 7 + 0 -25 + 12x = 7 Add '25' to each side of the equation. -25 + 25 + 12x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 12x = 7 + 25 12x = 7 + 25 Combine like terms: 7 + 25 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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