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Simplifying 5(x + -5) + 2x = 3(x + -5) + 6 Reorder the terms: 5(-5 + x) + 2x = 3(x + -5) + 6 (-5 * 5 + x * 5) + 2x = 3(x + -5) + 6 (-25 + 5x) + 2x = 3(x + -5) + 6 Combine like terms: 5x + 2x = 7x -25 + 7x = 3(x + -5) + 6 Reorder the terms: -25 + 7x = 3(-5 + x) + 6 -25 + 7x = (-5 * 3 + x * 3) + 6 -25 + 7x = (-15 + 3x) + 6 Reorder the terms: -25 + 7x = -15 + 6 + 3x Combine like terms: -15 + 6 = -9 -25 + 7x = -9 + 3x Solving -25 + 7x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 7x + -3x = -9 + 3x + -3x Combine like terms: 7x + -3x = 4x -25 + 4x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 4x = -9 + 0 -25 + 4x = -9 Add '25' to each side of the equation. -25 + 25 + 4x = -9 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = -9 + 25 4x = -9 + 25 Combine like terms: -9 + 25 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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