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Simplifying 6m + 4x + -3m + 2x + -1x + 5(m + -6) + 2(4x + 7) = 0 Reorder the terms: 6m + 4x + -3m + 2x + -1x + 5(-6 + m) + 2(4x + 7) = 0 6m + 4x + -3m + 2x + -1x + (-6 * 5 + m * 5) + 2(4x + 7) = 0 6m + 4x + -3m + 2x + -1x + (-30 + 5m) + 2(4x + 7) = 0 Reorder the terms: 6m + 4x + -3m + 2x + -1x + -30 + 5m + 2(7 + 4x) = 0 6m + 4x + -3m + 2x + -1x + -30 + 5m + (7 * 2 + 4x * 2) = 0 6m + 4x + -3m + 2x + -1x + -30 + 5m + (14 + 8x) = 0 Reorder the terms: -30 + 14 + 6m + -3m + 5m + 4x + 2x + -1x + 8x = 0 Combine like terms: -30 + 14 = -16 -16 + 6m + -3m + 5m + 4x + 2x + -1x + 8x = 0 Combine like terms: 6m + -3m = 3m -16 + 3m + 5m + 4x + 2x + -1x + 8x = 0 Combine like terms: 3m + 5m = 8m -16 + 8m + 4x + 2x + -1x + 8x = 0 Combine like terms: 4x + 2x = 6x -16 + 8m + 6x + -1x + 8x = 0 Combine like terms: 6x + -1x = 5x -16 + 8m + 5x + 8x = 0 Combine like terms: 5x + 8x = 13x -16 + 8m + 13x = 0 Solving -16 + 8m + 13x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 8m + 16 + 13x = 0 + 16 Reorder the terms: -16 + 16 + 8m + 13x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8m + 13x = 0 + 16 8m + 13x = 0 + 16 Combine like terms: 0 + 16 = 16 8m + 13x = 16 Add '-13x' to each side of the equation. 8m + 13x + -13x = 16 + -13x Combine like terms: 13x + -13x = 0 8m + 0 = 16 + -13x 8m = 16 + -13x Divide each side by '8'. m = 2 + -1.625x Simplifying m = 2 + -1.625x
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