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Simplifying 0.5(4x + 6) = -6x Reorder the terms: 0.5(6 + 4x) = -6x (6 * 0.5 + 4x * 0.5) = -6x (3 + 2x) = -6x Solving 3 + 2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 2x + 6x = -6x + 6x Combine like terms: 2x + 6x = 8x 3 + 8x = -6x + 6x Combine like terms: -6x + 6x = 0 3 + 8x = 0 Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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