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Simplifying -0.5(8x + 4) + 0.5(56x + 24) = 0 Reorder the terms: -0.5(4 + 8x) + 0.5(56x + 24) = 0 (4 * -0.5 + 8x * -0.5) + 0.5(56x + 24) = 0 (-2 + -4x) + 0.5(56x + 24) = 0 Reorder the terms: -2 + -4x + 0.5(24 + 56x) = 0 -2 + -4x + (24 * 0.5 + 56x * 0.5) = 0 -2 + -4x + (12 + 28x) = 0 Reorder the terms: -2 + 12 + -4x + 28x = 0 Combine like terms: -2 + 12 = 10 10 + -4x + 28x = 0 Combine like terms: -4x + 28x = 24x 10 + 24x = 0 Solving 10 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 24x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 24x = 0 + -10 24x = 0 + -10 Combine like terms: 0 + -10 = -10 24x = -10 Divide each side by '24'. x = -0.4166666667 Simplifying x = -0.4166666667
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