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Simplifying -0.2(x + -6) + -1x = 0.3(4 + -1x) Reorder the terms: -0.2(-6 + x) + -1x = 0.3(4 + -1x) (-6 * -0.2 + x * -0.2) + -1x = 0.3(4 + -1x) (1.2 + -0.2x) + -1x = 0.3(4 + -1x) Combine like terms: -0.2x + -1x = -1.2x 1.2 + -1.2x = 0.3(4 + -1x) 1.2 + -1.2x = (4 * 0.3 + -1x * 0.3) 1.2 + -1.2x = (1.2 + -0.3x) Add '-1.2' to each side of the equation. 1.2 + -1.2 + -1.2x = 1.2 + -1.2 + -0.3x Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.2x = 1.2 + -1.2 + -0.3x -1.2x = 1.2 + -1.2 + -0.3x Combine like terms: 1.2 + -1.2 = 0.0 -1.2x = 0.0 + -0.3x -1.2x = -0.3x Solving -1.2x = -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -1.2x + 0.3x = -0.3x + 0.3x Combine like terms: -1.2x + 0.3x = -0.9x -0.9x = -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -0.9x = 0.0 Divide each side by '-0.9'. x = 0 Simplifying x = 0
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