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Simplifying 0.2(-1.5x + -6) = -1.3x + -6 Reorder the terms: 0.2(-6 + -1.5x) = -1.3x + -6 (-6 * 0.2 + -1.5x * 0.2) = -1.3x + -6 (-1.2 + -0.3x) = -1.3x + -6 Reorder the terms: -1.2 + -0.3x = -6 + -1.3x Solving -1.2 + -0.3x = -6 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. -1.2 + -0.3x + 1.3x = -6 + -1.3x + 1.3x Combine like terms: -0.3x + 1.3x = 1x -1.2 + 1x = -6 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 -1.2 + 1x = -6 + 0.0 -1.2 + 1x = -6 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1x = -6 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1x = -6 + 1.2 1x = -6 + 1.2 Combine like terms: -6 + 1.2 = -4.8 1x = -4.8 Divide each side by '1'. x = -4.8 Simplifying x = -4.8
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