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Simplifying 0.5(4x + -16) + -1(-6) = -12 Reorder the terms: 0.5(-16 + 4x) + -1(-6) = -12 (-16 * 0.5 + 4x * 0.5) + -1(-6) = -12 (-8 + 2x) + -1(-6) = -12 Multiply -1 * -6 -8 + 2x + 6 = -12 Reorder the terms: -8 + 6 + 2x = -12 Combine like terms: -8 + 6 = -2 -2 + 2x = -12 Solving -2 + 2x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -12 + 2 2x = -12 + 2 Combine like terms: -12 + 2 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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