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Simplifying 0.2(1.4 + -3x) + 1.3 + -2.9 = 0 (1.4 * 0.2 + -3x * 0.2) + 1.3 + -2.9 = 0 (0.28 + -0.6x) + 1.3 + -2.9 = 0 Reorder the terms: 0.28 + 1.3 + -2.9 + -0.6x = 0 Combine like terms: 0.28 + 1.3 = 1.58 1.58 + -2.9 + -0.6x = 0 Combine like terms: 1.58 + -2.9 = -1.32 -1.32 + -0.6x = 0 Solving -1.32 + -0.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.32' to each side of the equation. -1.32 + 1.32 + -0.6x = 0 + 1.32 Combine like terms: -1.32 + 1.32 = 0.00 0.00 + -0.6x = 0 + 1.32 -0.6x = 0 + 1.32 Combine like terms: 0 + 1.32 = 1.32 -0.6x = 1.32 Divide each side by '-0.6'. x = -2.2 Simplifying x = -2.2
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