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Simplifying 2xm + x + 10 = 9x + -6x + 10 Reorder the terms: 10 + 2mx + x = 9x + -6x + 10 Reorder the terms: 10 + 2mx + x = 10 + 9x + -6x Combine like terms: 9x + -6x = 3x 10 + 2mx + x = 10 + 3x Add '-10' to each side of the equation. 10 + 2mx + -10 + x = 10 + -10 + 3x Reorder the terms: 10 + -10 + 2mx + x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 2mx + x = 10 + -10 + 3x 2mx + x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 2mx + x = 0 + 3x 2mx + x = 3x Solving 2mx + x = 3x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 2mx + x + -1x = 3x + -1x Combine like terms: x + -1x = 0 2mx + 0 = 3x + -1x 2mx = 3x + -1x Combine like terms: 3x + -1x = 2x 2mx = 2x Divide each side by '2x'. m = 1 Simplifying m = 1
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