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Simplifying (x + 4)(x + 14) + -1x(x + 10) = 216 Reorder the terms: (4 + x)(x + 14) + -1x(x + 10) = 216 Reorder the terms: (4 + x)(14 + x) + -1x(x + 10) = 216 Multiply (4 + x) * (14 + x) (4(14 + x) + x(14 + x)) + -1x(x + 10) = 216 ((14 * 4 + x * 4) + x(14 + x)) + -1x(x + 10) = 216 ((56 + 4x) + x(14 + x)) + -1x(x + 10) = 216 (56 + 4x + (14 * x + x * x)) + -1x(x + 10) = 216 (56 + 4x + (14x + x2)) + -1x(x + 10) = 216 Combine like terms: 4x + 14x = 18x (56 + 18x + x2) + -1x(x + 10) = 216 Reorder the terms: 56 + 18x + x2 + -1x(10 + x) = 216 56 + 18x + x2 + (10 * -1x + x * -1x) = 216 56 + 18x + x2 + (-10x + -1x2) = 216 Reorder the terms: 56 + 18x + -10x + x2 + -1x2 = 216 Combine like terms: 18x + -10x = 8x 56 + 8x + x2 + -1x2 = 216 Combine like terms: x2 + -1x2 = 0 56 + 8x + 0 = 216 56 + 8x = 216 Solving 56 + 8x = 216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8x = 216 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = 216 + -56 8x = 216 + -56 Combine like terms: 216 + -56 = 160 8x = 160 Divide each side by '8'. x = 20 Simplifying x = 20
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