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Simplifying 2mx + 5(x + -1) = 7x + 1 + -3x Reorder the terms: 2mx + 5(-1 + x) = 7x + 1 + -3x 2mx + (-1 * 5 + x * 5) = 7x + 1 + -3x 2mx + (-5 + 5x) = 7x + 1 + -3x Reorder the terms: -5 + 2mx + 5x = 7x + 1 + -3x Reorder the terms: -5 + 2mx + 5x = 1 + 7x + -3x Combine like terms: 7x + -3x = 4x -5 + 2mx + 5x = 1 + 4x Solving -5 + 2mx + 5x = 1 + 4x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2mx + 5 + 5x = 1 + 5 + 4x Reorder the terms: -5 + 5 + 2mx + 5x = 1 + 5 + 4x Combine like terms: -5 + 5 = 0 0 + 2mx + 5x = 1 + 5 + 4x 2mx + 5x = 1 + 5 + 4x Combine like terms: 1 + 5 = 6 2mx + 5x = 6 + 4x Add '-5x' to each side of the equation. 2mx + 5x + -5x = 6 + 4x + -5x Combine like terms: 5x + -5x = 0 2mx + 0 = 6 + 4x + -5x 2mx = 6 + 4x + -5x Combine like terms: 4x + -5x = -1x 2mx = 6 + -1x Divide each side by '2x'. m = 3x-1 + -0.5 Simplifying m = 3x-1 + -0.5 Reorder the terms: m = -0.5 + 3x-1
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