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Simplifying X + m(x + -2) + 1 = 11 + -5(mx + -1) Reorder the terms: X + m(-2 + x) + 1 = 11 + -5(mx + -1) X + (-2 * m + x * m) + 1 = 11 + -5(mx + -1) X + (-2m + mx) + 1 = 11 + -5(mx + -1) Reorder the terms: 1 + X + -2m + mx = 11 + -5(mx + -1) Reorder the terms: 1 + X + -2m + mx = 11 + -5(-1 + mx) 1 + X + -2m + mx = 11 + (-1 * -5 + mx * -5) 1 + X + -2m + mx = 11 + (5 + -5mx) Combine like terms: 11 + 5 = 16 1 + X + -2m + mx = 16 + -5mx Solving 1 + X + -2m + mx = 16 + -5mx Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X + -2m + -1 + mx = 16 + -1 + -5mx Reorder the terms: 1 + -1 + X + -2m + mx = 16 + -1 + -5mx Combine like terms: 1 + -1 = 0 0 + X + -2m + mx = 16 + -1 + -5mx X + -2m + mx = 16 + -1 + -5mx Combine like terms: 16 + -1 = 15 X + -2m + mx = 15 + -5mx Add '2m' to each side of the equation. X + -2m + 2m + mx = 15 + 2m + -5mx Combine like terms: -2m + 2m = 0 X + 0 + mx = 15 + 2m + -5mx X + mx = 15 + 2m + -5mx Add '-1mx' to each side of the equation. X + mx + -1mx = 15 + 2m + -5mx + -1mx Combine like terms: mx + -1mx = 0 X + 0 = 15 + 2m + -5mx + -1mx X = 15 + 2m + -5mx + -1mx Combine like terms: -5mx + -1mx = -6mx X = 15 + 2m + -6mx Simplifying X = 15 + 2m + -6mx
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