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Simplifying x2 + 3(7 + 10m) = 2(5 + 2m) * x x2 + (7 * 3 + 10m * 3) = 2(5 + 2m) * x x2 + (21 + 30m) = 2(5 + 2m) * x Reorder the terms: 21 + 30m + x2 = 2(5 + 2m) * x Reorder the terms for easier multiplication: 21 + 30m + x2 = 2x(5 + 2m) 21 + 30m + x2 = (5 * 2x + 2m * 2x) Reorder the terms: 21 + 30m + x2 = (4mx + 10x) 21 + 30m + x2 = (4mx + 10x) Solving 21 + 30m + x2 = 4mx + 10x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4mx' to each side of the equation. 21 + 30m + -4mx + x2 = 4mx + -4mx + 10x Combine like terms: 4mx + -4mx = 0 21 + 30m + -4mx + x2 = 0 + 10x 21 + 30m + -4mx + x2 = 10x Add '-21' to each side of the equation. 21 + 30m + -4mx + -21 + x2 = -21 + 10x Reorder the terms: 21 + -21 + 30m + -4mx + x2 = -21 + 10x Combine like terms: 21 + -21 = 0 0 + 30m + -4mx + x2 = -21 + 10x 30m + -4mx + x2 = -21 + 10x Add '-1x2' to each side of the equation. 30m + -4mx + x2 + -1x2 = -21 + 10x + -1x2 Combine like terms: x2 + -1x2 = 0 30m + -4mx + 0 = -21 + 10x + -1x2 30m + -4mx = -21 + 10x + -1x2 Reorder the terms: 21 + 30m + -4mx + -10x + x2 = -21 + 10x + -1x2 + 21 + -10x + x2 Reorder the terms: 21 + 30m + -4mx + -10x + x2 = -21 + 21 + 10x + -10x + -1x2 + x2 Combine like terms: -21 + 21 = 0 21 + 30m + -4mx + -10x + x2 = 0 + 10x + -10x + -1x2 + x2 21 + 30m + -4mx + -10x + x2 = 10x + -10x + -1x2 + x2 Combine like terms: 10x + -10x = 0 21 + 30m + -4mx + -10x + x2 = 0 + -1x2 + x2 21 + 30m + -4mx + -10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 21 + 30m + -4mx + -10x + x2 = 0 The solution to this equation could not be determined.
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