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Simplifying -0.6(1.2x + 4.5) + -3(2.8x + -4) = 0 Reorder the terms: -0.6(4.5 + 1.2x) + -3(2.8x + -4) = 0 (4.5 * -0.6 + 1.2x * -0.6) + -3(2.8x + -4) = 0 (-2.7 + -0.72x) + -3(2.8x + -4) = 0 Reorder the terms: -2.7 + -0.72x + -3(-4 + 2.8x) = 0 -2.7 + -0.72x + (-4 * -3 + 2.8x * -3) = 0 -2.7 + -0.72x + (12 + -8.4x) = 0 Reorder the terms: -2.7 + 12 + -0.72x + -8.4x = 0 Combine like terms: -2.7 + 12 = 9.3 9.3 + -0.72x + -8.4x = 0 Combine like terms: -0.72x + -8.4x = -9.12x 9.3 + -9.12x = 0 Solving 9.3 + -9.12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.3' to each side of the equation. 9.3 + -9.3 + -9.12x = 0 + -9.3 Combine like terms: 9.3 + -9.3 = 0.0 0.0 + -9.12x = 0 + -9.3 -9.12x = 0 + -9.3 Combine like terms: 0 + -9.3 = -9.3 -9.12x = -9.3 Divide each side by '-9.12'. x = 1.019736842 Simplifying x = 1.019736842
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