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Simplifying -0.2(-5.85 + -6x) = 1.5x (-5.85 * -0.2 + -6x * -0.2) = 1.5x (1.17 + 1.2x) = 1.5x Solving 1.17 + 1.2x = 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 1.17 + 1.2x + -1.5x = 1.5x + -1.5x Combine like terms: 1.2x + -1.5x = -0.3x 1.17 + -0.3x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1.17 + -0.3x = 0.0 Add '-1.17' to each side of the equation. 1.17 + -1.17 + -0.3x = 0.0 + -1.17 Combine like terms: 1.17 + -1.17 = 0.00 0.00 + -0.3x = 0.0 + -1.17 -0.3x = 0.0 + -1.17 Combine like terms: 0.0 + -1.17 = -1.17 -0.3x = -1.17 Divide each side by '-0.3'. x = 3.9 Simplifying x = 3.9
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