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Simplifying 0.2(x + 3) + -4(2x + 3) = 0.9 Reorder the terms: 0.2(3 + x) + -4(2x + 3) = 0.9 (3 * 0.2 + x * 0.2) + -4(2x + 3) = 0.9 (0.6 + 0.2x) + -4(2x + 3) = 0.9 Reorder the terms: 0.6 + 0.2x + -4(3 + 2x) = 0.9 0.6 + 0.2x + (3 * -4 + 2x * -4) = 0.9 0.6 + 0.2x + (-12 + -8x) = 0.9 Reorder the terms: 0.6 + -12 + 0.2x + -8x = 0.9 Combine like terms: 0.6 + -12 = -11.4 -11.4 + 0.2x + -8x = 0.9 Combine like terms: 0.2x + -8x = -7.8x -11.4 + -7.8x = 0.9 Solving -11.4 + -7.8x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.4' to each side of the equation. -11.4 + 11.4 + -7.8x = 0.9 + 11.4 Combine like terms: -11.4 + 11.4 = 0.0 0.0 + -7.8x = 0.9 + 11.4 -7.8x = 0.9 + 11.4 Combine like terms: 0.9 + 11.4 = 12.3 -7.8x = 12.3 Divide each side by '-7.8'. x = -1.576923077 Simplifying x = -1.576923077
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