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Simplifying 0.2(x + 3) = 2x + -3(2 + -1x) + -3 Reorder the terms: 0.2(3 + x) = 2x + -3(2 + -1x) + -3 (3 * 0.2 + x * 0.2) = 2x + -3(2 + -1x) + -3 (0.6 + 0.2x) = 2x + -3(2 + -1x) + -3 0.6 + 0.2x = 2x + (2 * -3 + -1x * -3) + -3 0.6 + 0.2x = 2x + (-6 + 3x) + -3 Reorder the terms: 0.6 + 0.2x = -6 + -3 + 2x + 3x Combine like terms: -6 + -3 = -9 0.6 + 0.2x = -9 + 2x + 3x Combine like terms: 2x + 3x = 5x 0.6 + 0.2x = -9 + 5x Solving 0.6 + 0.2x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.6 + 0.2x + -5x = -9 + 5x + -5x Combine like terms: 0.2x + -5x = -4.8x 0.6 + -4.8x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 0.6 + -4.8x = -9 + 0 0.6 + -4.8x = -9 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -4.8x = -9 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -4.8x = -9 + -0.6 -4.8x = -9 + -0.6 Combine like terms: -9 + -0.6 = -9.6 -4.8x = -9.6 Divide each side by '-4.8'. x = 2 Simplifying x = 2
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