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Simplifying 3x + 5(2x + -5) = 16x + -31 Reorder the terms: 3x + 5(-5 + 2x) = 16x + -31 3x + (-5 * 5 + 2x * 5) = 16x + -31 3x + (-25 + 10x) = 16x + -31 Reorder the terms: -25 + 3x + 10x = 16x + -31 Combine like terms: 3x + 10x = 13x -25 + 13x = 16x + -31 Reorder the terms: -25 + 13x = -31 + 16x Solving -25 + 13x = -31 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -25 + 13x + -16x = -31 + 16x + -16x Combine like terms: 13x + -16x = -3x -25 + -3x = -31 + 16x + -16x Combine like terms: 16x + -16x = 0 -25 + -3x = -31 + 0 -25 + -3x = -31 Add '25' to each side of the equation. -25 + 25 + -3x = -31 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = -31 + 25 -3x = -31 + 25 Combine like terms: -31 + 25 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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