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Simplifying 0.5(4x + -6) = 0.333(12 + 3) + 7 Reorder the terms: 0.5(-6 + 4x) = 0.333(12 + 3) + 7 (-6 * 0.5 + 4x * 0.5) = 0.333(12 + 3) + 7 (-3 + 2x) = 0.333(12 + 3) + 7 Combine like terms: 12 + 3 = 15 -3 + 2x = 0.333(15) + 7 Multiply 0.333 * 15 -3 + 2x = 4.995 + 7 Combine like terms: 4.995 + 7 = 11.995 -3 + 2x = 11.995 Solving -3 + 2x = 11.995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 11.995 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 11.995 + 3 2x = 11.995 + 3 Combine like terms: 11.995 + 3 = 14.995 2x = 14.995 Divide each side by '2'. x = 7.4975 Simplifying x = 7.4975
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