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Simplifying 0.2(0.3x + 1) + -0.3(1.2x + -0.6) = x Reorder the terms: 0.2(1 + 0.3x) + -0.3(1.2x + -0.6) = x (1 * 0.2 + 0.3x * 0.2) + -0.3(1.2x + -0.6) = x (0.2 + 0.06x) + -0.3(1.2x + -0.6) = x Reorder the terms: 0.2 + 0.06x + -0.3(-0.6 + 1.2x) = x 0.2 + 0.06x + (-0.6 * -0.3 + 1.2x * -0.3) = x 0.2 + 0.06x + (0.18 + -0.36x) = x Reorder the terms: 0.2 + 0.18 + 0.06x + -0.36x = x Combine like terms: 0.2 + 0.18 = 0.38 0.38 + 0.06x + -0.36x = x Combine like terms: 0.06x + -0.36x = -0.3x 0.38 + -0.3x = x Solving 0.38 + -0.3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.38 + -0.3x + -1x = x + -1x Combine like terms: -0.3x + -1x = -1.3x 0.38 + -1.3x = x + -1x Combine like terms: x + -1x = 0 0.38 + -1.3x = 0 Add '-0.38' to each side of the equation. 0.38 + -0.38 + -1.3x = 0 + -0.38 Combine like terms: 0.38 + -0.38 = 0.00 0.00 + -1.3x = 0 + -0.38 -1.3x = 0 + -0.38 Combine like terms: 0 + -0.38 = -0.38 -1.3x = -0.38 Divide each side by '-1.3'. x = 0.2923076923 Simplifying x = 0.2923076923
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