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Simplifying 4(2x + 3) = 2(m + 5) + -4 Reorder the terms: 4(3 + 2x) = 2(m + 5) + -4 (3 * 4 + 2x * 4) = 2(m + 5) + -4 (12 + 8x) = 2(m + 5) + -4 Reorder the terms: 12 + 8x = 2(5 + m) + -4 12 + 8x = (5 * 2 + m * 2) + -4 12 + 8x = (10 + 2m) + -4 Reorder the terms: 12 + 8x = 10 + -4 + 2m Combine like terms: 10 + -4 = 6 12 + 8x = 6 + 2m Solving 12 + 8x = 6 + 2m Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 6 + -12 + 2m Combine like terms: 12 + -12 = 0 0 + 8x = 6 + -12 + 2m 8x = 6 + -12 + 2m Combine like terms: 6 + -12 = -6 8x = -6 + 2m Divide each side by '8'. x = -0.75 + 0.25m Simplifying x = -0.75 + 0.25m
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