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Simplifying 4x(x + 2) + 15 = 2x(2x + 3) + -9 Reorder the terms: 4x(2 + x) + 15 = 2x(2x + 3) + -9 (2 * 4x + x * 4x) + 15 = 2x(2x + 3) + -9 (8x + 4x2) + 15 = 2x(2x + 3) + -9 Reorder the terms: 15 + 8x + 4x2 = 2x(2x + 3) + -9 Reorder the terms: 15 + 8x + 4x2 = 2x(3 + 2x) + -9 15 + 8x + 4x2 = (3 * 2x + 2x * 2x) + -9 15 + 8x + 4x2 = (6x + 4x2) + -9 Reorder the terms: 15 + 8x + 4x2 = -9 + 6x + 4x2 Add '-4x2' to each side of the equation. 15 + 8x + 4x2 + -4x2 = -9 + 6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 15 + 8x + 0 = -9 + 6x + 4x2 + -4x2 15 + 8x = -9 + 6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 15 + 8x = -9 + 6x + 0 15 + 8x = -9 + 6x Solving 15 + 8x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 8x + -6x = -9 + 6x + -6x Combine like terms: 8x + -6x = 2x 15 + 2x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 2x = -9 + 0 15 + 2x = -9 Add '-15' to each side of the equation. 15 + -15 + 2x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -9 + -15 2x = -9 + -15 Combine like terms: -9 + -15 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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