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Simplifying 4x(x + 4) + 3x = x(4x + 9) + -110 Reorder the terms: 4x(4 + x) + 3x = x(4x + 9) + -110 (4 * 4x + x * 4x) + 3x = x(4x + 9) + -110 (16x + 4x2) + 3x = x(4x + 9) + -110 Reorder the terms: 16x + 3x + 4x2 = x(4x + 9) + -110 Combine like terms: 16x + 3x = 19x 19x + 4x2 = x(4x + 9) + -110 Reorder the terms: 19x + 4x2 = x(9 + 4x) + -110 19x + 4x2 = (9 * x + 4x * x) + -110 19x + 4x2 = (9x + 4x2) + -110 Reorder the terms: 19x + 4x2 = -110 + 9x + 4x2 Add '-4x2' to each side of the equation. 19x + 4x2 + -4x2 = -110 + 9x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 19x + 0 = -110 + 9x + 4x2 + -4x2 19x = -110 + 9x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 19x = -110 + 9x + 0 19x = -110 + 9x Solving 19x = -110 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 19x + -9x = -110 + 9x + -9x Combine like terms: 19x + -9x = 10x 10x = -110 + 9x + -9x Combine like terms: 9x + -9x = 0 10x = -110 + 0 10x = -110 Divide each side by '10'. x = -11 Simplifying x = -11
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