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Simplifying 5x2 + -3x = (7x2 + 5x) + -1(2x2 + 16) Reorder the terms: -3x + 5x2 = (7x2 + 5x) + -1(2x2 + 16) Reorder the terms: -3x + 5x2 = (5x + 7x2) + -1(2x2 + 16) Remove parenthesis around (5x + 7x2) -3x + 5x2 = 5x + 7x2 + -1(2x2 + 16) Reorder the terms: -3x + 5x2 = 5x + 7x2 + -1(16 + 2x2) -3x + 5x2 = 5x + 7x2 + (16 * -1 + 2x2 * -1) -3x + 5x2 = 5x + 7x2 + (-16 + -2x2) Reorder the terms: -3x + 5x2 = -16 + 5x + 7x2 + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -3x + 5x2 = -16 + 5x + 5x2 Add '-5x2' to each side of the equation. -3x + 5x2 + -5x2 = -16 + 5x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3x + 0 = -16 + 5x + 5x2 + -5x2 -3x = -16 + 5x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3x = -16 + 5x + 0 -3x = -16 + 5x Solving -3x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3x + -5x = -16 + 5x + -5x Combine like terms: -3x + -5x = -8x -8x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -8x = -16 + 0 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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