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Simplifying 1.4(2 + -1x) + -0.5(2x + -4) = 0 (2 * 1.4 + -1x * 1.4) + -0.5(2x + -4) = 0 (2.8 + -1.4x) + -0.5(2x + -4) = 0 Reorder the terms: 2.8 + -1.4x + -0.5(-4 + 2x) = 0 2.8 + -1.4x + (-4 * -0.5 + 2x * -0.5) = 0 2.8 + -1.4x + (2 + -1x) = 0 Reorder the terms: 2.8 + 2 + -1.4x + -1x = 0 Combine like terms: 2.8 + 2 = 4.8 4.8 + -1.4x + -1x = 0 Combine like terms: -1.4x + -1x = -2.4x 4.8 + -2.4x = 0 Solving 4.8 + -2.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8' to each side of the equation. 4.8 + -4.8 + -2.4x = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -2.4x = 0 + -4.8 -2.4x = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -2.4x = -4.8 Divide each side by '-2.4'. x = 2 Simplifying x = 2
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