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Simplifying X + 5(x + -1) + 1 + -1(x)(x) + 1 = x + 10 + -1(x)(x) + 5 Reorder the terms: X + 5(-1 + x) + 1 + -1(x)(x) + 1 = x + 10 + -1(x)(x) + 5 X + (-1 * 5 + x * 5) + 1 + -1(x)(x) + 1 = x + 10 + -1(x)(x) + 5 X + (-5 + 5x) + 1 + -1(x)(x) + 1 = x + 10 + -1(x)(x) + 5 Multiply x * x X + -5 + 5x + 1 + -1x2 + 1 = x + 10 + -1(x)(x) + 5 Reorder the terms: -5 + 1 + 1 + X + 5x + -1x2 = x + 10 + -1(x)(x) + 5 Combine like terms: -5 + 1 = -4 -4 + 1 + X + 5x + -1x2 = x + 10 + -1(x)(x) + 5 Combine like terms: -4 + 1 = -3 -3 + X + 5x + -1x2 = x + 10 + -1(x)(x) + 5 Multiply x * x -3 + X + 5x + -1x2 = x + 10 + -1x2 + 5 Reorder the terms: -3 + X + 5x + -1x2 = 10 + 5 + x + -1x2 Combine like terms: 10 + 5 = 15 -3 + X + 5x + -1x2 = 15 + x + -1x2 Add 'x2' to each side of the equation. -3 + X + 5x + -1x2 + x2 = 15 + x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + X + 5x + 0 = 15 + x + -1x2 + x2 -3 + X + 5x = 15 + x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + X + 5x = 15 + x + 0 -3 + X + 5x = 15 + x Solving -3 + X + 5x = 15 + x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + X + 3 + 5x = 15 + 3 + x Reorder the terms: -3 + 3 + X + 5x = 15 + 3 + x Combine like terms: -3 + 3 = 0 0 + X + 5x = 15 + 3 + x X + 5x = 15 + 3 + x Combine like terms: 15 + 3 = 18 X + 5x = 18 + x Add '-5x' to each side of the equation. X + 5x + -5x = 18 + x + -5x Combine like terms: 5x + -5x = 0 X + 0 = 18 + x + -5x X = 18 + x + -5x Combine like terms: x + -5x = -4x X = 18 + -4x Simplifying X = 18 + -4x
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