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Simplifying -0.2(1.93 + -3x) = 1.5x (1.93 * -0.2 + -3x * -0.2) = 1.5x (-0.386 + 0.6x) = 1.5x Solving -0.386 + 0.6x = 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. -0.386 + 0.6x + -1.5x = 1.5x + -1.5x Combine like terms: 0.6x + -1.5x = -0.9x -0.386 + -0.9x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.386 + -0.9x = 0.0 Add '0.386' to each side of the equation. -0.386 + 0.386 + -0.9x = 0.0 + 0.386 Combine like terms: -0.386 + 0.386 = 0.000 0.000 + -0.9x = 0.0 + 0.386 -0.9x = 0.0 + 0.386 Combine like terms: 0.0 + 0.386 = 0.386 -0.9x = 0.386 Divide each side by '-0.9'. x = -0.4288888889 Simplifying x = -0.4288888889
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