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Simplifying 3x + -5(x + -5) = 17 + 2x + 16 Reorder the terms: 3x + -5(-5 + x) = 17 + 2x + 16 3x + (-5 * -5 + x * -5) = 17 + 2x + 16 3x + (25 + -5x) = 17 + 2x + 16 Reorder the terms: 25 + 3x + -5x = 17 + 2x + 16 Combine like terms: 3x + -5x = -2x 25 + -2x = 17 + 2x + 16 Reorder the terms: 25 + -2x = 17 + 16 + 2x Combine like terms: 17 + 16 = 33 25 + -2x = 33 + 2x Solving 25 + -2x = 33 + 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 + -2x + -2x = 33 + 2x + -2x Combine like terms: -2x + -2x = -4x 25 + -4x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -4x = 33 + 0 25 + -4x = 33 Add '-25' to each side of the equation. 25 + -25 + -4x = 33 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 33 + -25 -4x = 33 + -25 Combine like terms: 33 + -25 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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