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Simplifying 6 + -0.5x = 2.5(2x + 4) Reorder the terms: 6 + -0.5x = 2.5(4 + 2x) 6 + -0.5x = (4 * 2.5 + 2x * 2.5) 6 + -0.5x = (10 + 5x) Solving 6 + -0.5x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -0.5x + -5x = 10 + 5x + -5x Combine like terms: -0.5x + -5x = -5.5x 6 + -5.5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -5.5x = 10 + 0 6 + -5.5x = 10 Add '-6' to each side of the equation. 6 + -6 + -5.5x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -5.5x = 10 + -6 -5.5x = 10 + -6 Combine like terms: 10 + -6 = 4 -5.5x = 4 Divide each side by '-5.5'. x = -0.7272727273 Simplifying x = -0.7272727273
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