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Simplifying 4(x + 9) = -2(m + -5) + 2 Reorder the terms: 4(9 + x) = -2(m + -5) + 2 (9 * 4 + x * 4) = -2(m + -5) + 2 (36 + 4x) = -2(m + -5) + 2 Reorder the terms: 36 + 4x = -2(-5 + m) + 2 36 + 4x = (-5 * -2 + m * -2) + 2 36 + 4x = (10 + -2m) + 2 Reorder the terms: 36 + 4x = 10 + 2 + -2m Combine like terms: 10 + 2 = 12 36 + 4x = 12 + -2m Solving 36 + 4x = 12 + -2m Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4x = 12 + -36 + -2m Combine like terms: 36 + -36 = 0 0 + 4x = 12 + -36 + -2m 4x = 12 + -36 + -2m Combine like terms: 12 + -36 = -24 4x = -24 + -2m Divide each side by '4'. x = -6 + -0.5m Simplifying x = -6 + -0.5m
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