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Simplifying -0.2(-10.35 + -1x) = 0.5x (-10.35 * -0.2 + -1x * -0.2) = 0.5x (2.07 + 0.2x) = 0.5x Solving 2.07 + 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. 2.07 + 0.2x + -0.5x = 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 2.07 + -0.3x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.07 + -0.3x = 0.0 Add '-2.07' to each side of the equation. 2.07 + -2.07 + -0.3x = 0.0 + -2.07 Combine like terms: 2.07 + -2.07 = 0.00 0.00 + -0.3x = 0.0 + -2.07 -0.3x = 0.0 + -2.07 Combine like terms: 0.0 + -2.07 = -2.07 -0.3x = -2.07 Divide each side by '-0.3'. x = 6.9 Simplifying x = 6.9
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