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Simplifying -2.5 + 2 = 0.5(8 + -6x) Combine like terms: -2.5 + 2 = -0.5 -0.5 = 0.5(8 + -6x) -0.5 = (8 * 0.5 + -6x * 0.5) -0.5 = (4 + -3x) Solving -0.5 = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -0.5 + 3x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -0.5 + 3x = 4 + 0 -0.5 + 3x = 4 Add '0.5' to each side of the equation. -0.5 + 0.5 + 3x = 4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 3x = 4 + 0.5 3x = 4 + 0.5 Combine like terms: 4 + 0.5 = 4.5 3x = 4.5 Divide each side by '3'. x = 1.5 Simplifying x = 1.5
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