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Simplifying 5x(x + 1) + -7 = 5x2 + -3x + 9 Reorder the terms: 5x(1 + x) + -7 = 5x2 + -3x + 9 (1 * 5x + x * 5x) + -7 = 5x2 + -3x + 9 (5x + 5x2) + -7 = 5x2 + -3x + 9 Reorder the terms: -7 + 5x + 5x2 = 5x2 + -3x + 9 Reorder the terms: -7 + 5x + 5x2 = 9 + -3x + 5x2 Add '-5x2' to each side of the equation. -7 + 5x + 5x2 + -5x2 = 9 + -3x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7 + 5x + 0 = 9 + -3x + 5x2 + -5x2 -7 + 5x = 9 + -3x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7 + 5x = 9 + -3x + 0 -7 + 5x = 9 + -3x Solving -7 + 5x = 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. -7 + 5x + 3x = 9 + -3x + 3x Combine like terms: 5x + 3x = 8x -7 + 8x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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