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Simplifying 0.2(x + 4) + 1.2(x + -3) = 0 Reorder the terms: 0.2(4 + x) + 1.2(x + -3) = 0 (4 * 0.2 + x * 0.2) + 1.2(x + -3) = 0 (0.8 + 0.2x) + 1.2(x + -3) = 0 Reorder the terms: 0.8 + 0.2x + 1.2(-3 + x) = 0 0.8 + 0.2x + (-3 * 1.2 + x * 1.2) = 0 0.8 + 0.2x + (-3.6 + 1.2x) = 0 Reorder the terms: 0.8 + -3.6 + 0.2x + 1.2x = 0 Combine like terms: 0.8 + -3.6 = -2.8 -2.8 + 0.2x + 1.2x = 0 Combine like terms: 0.2x + 1.2x = 1.4x -2.8 + 1.4x = 0 Solving -2.8 + 1.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8' to each side of the equation. -2.8 + 2.8 + 1.4x = 0 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 1.4x = 0 + 2.8 1.4x = 0 + 2.8 Combine like terms: 0 + 2.8 = 2.8 1.4x = 2.8 Divide each side by '1.4'. x = 2 Simplifying x = 2
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