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Simplifying -0.1(-27.6 + -2x) = 0.5x (-27.6 * -0.1 + -2x * -0.1) = 0.5x (2.76 + 0.2x) = 0.5x Solving 2.76 + 0.2x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2.76 + 0.2x + -0.5x = 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 2.76 + -0.3x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.76 + -0.3x = 0.0 Add '-2.76' to each side of the equation. 2.76 + -2.76 + -0.3x = 0.0 + -2.76 Combine like terms: 2.76 + -2.76 = 0.00 0.00 + -0.3x = 0.0 + -2.76 -0.3x = 0.0 + -2.76 Combine like terms: 0.0 + -2.76 = -2.76 -0.3x = -2.76 Divide each side by '-0.3'. x = 9.2 Simplifying x = 9.2
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