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Simplifying 0.6(3x + 12) = 3(1 + -2x) + -12 Reorder the terms: 0.6(12 + 3x) = 3(1 + -2x) + -12 (12 * 0.6 + 3x * 0.6) = 3(1 + -2x) + -12 (7.2 + 1.8x) = 3(1 + -2x) + -12 7.2 + 1.8x = (1 * 3 + -2x * 3) + -12 7.2 + 1.8x = (3 + -6x) + -12 Reorder the terms: 7.2 + 1.8x = 3 + -12 + -6x Combine like terms: 3 + -12 = -9 7.2 + 1.8x = -9 + -6x Solving 7.2 + 1.8x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7.2 + 1.8x + 6x = -9 + -6x + 6x Combine like terms: 1.8x + 6x = 7.8x 7.2 + 7.8x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 7.2 + 7.8x = -9 + 0 7.2 + 7.8x = -9 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 7.8x = -9 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 7.8x = -9 + -7.2 7.8x = -9 + -7.2 Combine like terms: -9 + -7.2 = -16.2 7.8x = -16.2 Divide each side by '7.8'. x = -2.076923077 Simplifying x = -2.076923077
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