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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 = 12.6 12.6 + 0.2x + -8x = 0.9 Combine like terms: 0.2x + -8x = -7.8x 12.6 + -7.8x = 0.9 Solving 12.6 + -7.8x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.6' to each side of the equation. 12.6 + -12.6 + -7.8x = 0.9 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + -7.8x = 0.9 + -12.6 -7.8x = 0.9 + -12.6 Combine like terms: 0.9 + -12.6 = -11.7 -7.8x = -11.7 Divide each side by '-7.8'. x = 1.5 Simplifying x = 1.5
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