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Simplifying X + (2x + -4)(x + 10) = 86 Reorder the terms: X + (-4 + 2x)(x + 10) = 86 Reorder the terms: X + (-4 + 2x)(10 + x) = 86 Multiply (-4 + 2x) * (10 + x) X + (-4(10 + x) + 2x * (10 + x)) = 86 X + ((10 * -4 + x * -4) + 2x * (10 + x)) = 86 X + ((-40 + -4x) + 2x * (10 + x)) = 86 X + (-40 + -4x + (10 * 2x + x * 2x)) = 86 X + (-40 + -4x + (20x + 2x2)) = 86 Combine like terms: -4x + 20x = 16x X + (-40 + 16x + 2x2) = 86 Reorder the terms: -40 + X + 16x + 2x2 = 86 Solving -40 + X + 16x + 2x2 = 86 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + X + 16x + 40 + 2x2 = 86 + 40 Reorder the terms: -40 + 40 + X + 16x + 2x2 = 86 + 40 Combine like terms: -40 + 40 = 0 0 + X + 16x + 2x2 = 86 + 40 X + 16x + 2x2 = 86 + 40 Combine like terms: 86 + 40 = 126 X + 16x + 2x2 = 126 Add '-16x' to each side of the equation. X + 16x + -16x + 2x2 = 126 + -16x Combine like terms: 16x + -16x = 0 X + 0 + 2x2 = 126 + -16x X + 2x2 = 126 + -16x Add '-2x2' to each side of the equation. X + 2x2 + -2x2 = 126 + -16x + -2x2 Combine like terms: 2x2 + -2x2 = 0 X + 0 = 126 + -16x + -2x2 X = 126 + -16x + -2x2 Simplifying X = 126 + -16x + -2x2
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