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Simplifying 0.5(11x + -3) = 8x + 6 Reorder the terms: 0.5(-3 + 11x) = 8x + 6 (-3 * 0.5 + 11x * 0.5) = 8x + 6 (-1.5 + 5.5x) = 8x + 6 Reorder the terms: -1.5 + 5.5x = 6 + 8x Solving -1.5 + 5.5x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1.5 + 5.5x + -8x = 6 + 8x + -8x Combine like terms: 5.5x + -8x = -2.5x -1.5 + -2.5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -1.5 + -2.5x = 6 + 0 -1.5 + -2.5x = 6 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2.5x = 6 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.5x = 6 + 1.5 -2.5x = 6 + 1.5 Combine like terms: 6 + 1.5 = 7.5 -2.5x = 7.5 Divide each side by '-2.5'. x = -3 Simplifying x = -3
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