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Simplifying X + (5x + 4)(x + -13) = 180 Reorder the terms: X + (4 + 5x)(x + -13) = 180 Reorder the terms: X + (4 + 5x)(-13 + x) = 180 Multiply (4 + 5x) * (-13 + x) X + (4(-13 + x) + 5x * (-13 + x)) = 180 X + ((-13 * 4 + x * 4) + 5x * (-13 + x)) = 180 X + ((-52 + 4x) + 5x * (-13 + x)) = 180 X + (-52 + 4x + (-13 * 5x + x * 5x)) = 180 X + (-52 + 4x + (-65x + 5x2)) = 180 Combine like terms: 4x + -65x = -61x X + (-52 + -61x + 5x2) = 180 Reorder the terms: -52 + X + -61x + 5x2 = 180 Solving -52 + X + -61x + 5x2 = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '52' to each side of the equation. -52 + X + -61x + 52 + 5x2 = 180 + 52 Reorder the terms: -52 + 52 + X + -61x + 5x2 = 180 + 52 Combine like terms: -52 + 52 = 0 0 + X + -61x + 5x2 = 180 + 52 X + -61x + 5x2 = 180 + 52 Combine like terms: 180 + 52 = 232 X + -61x + 5x2 = 232 Add '61x' to each side of the equation. X + -61x + 61x + 5x2 = 232 + 61x Combine like terms: -61x + 61x = 0 X + 0 + 5x2 = 232 + 61x X + 5x2 = 232 + 61x Add '-5x2' to each side of the equation. X + 5x2 + -5x2 = 232 + 61x + -5x2 Combine like terms: 5x2 + -5x2 = 0 X + 0 = 232 + 61x + -5x2 X = 232 + 61x + -5x2 Simplifying X = 232 + 61x + -5x2
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