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Simplifying 6(1 + 3m) = -8(-2m + 5) + x (1 * 6 + 3m * 6) = -8(-2m + 5) + x (6 + 18m) = -8(-2m + 5) + x Reorder the terms: 6 + 18m = -8(5 + -2m) + x 6 + 18m = (5 * -8 + -2m * -8) + x 6 + 18m = (-40 + 16m) + x Solving 6 + 18m = -40 + 16m + x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 6 + 18m + -16m = -40 + 16m + -16m + x Combine like terms: 18m + -16m = 2m 6 + 2m = -40 + 16m + -16m + x Combine like terms: 16m + -16m = 0 6 + 2m = -40 + 0 + x 6 + 2m = -40 + x Add '-6' to each side of the equation. 6 + -6 + 2m = -40 + -6 + x Combine like terms: 6 + -6 = 0 0 + 2m = -40 + -6 + x 2m = -40 + -6 + x Combine like terms: -40 + -6 = -46 2m = -46 + x Divide each side by '2'. m = -23 + 0.5x Simplifying m = -23 + 0.5x
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