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Simplifying 2(2.1 + -0.5x) = 5(0.8 + x) + 6.8 (2.1 * 2 + -0.5x * 2) = 5(0.8 + x) + 6.8 (4.2 + -1x) = 5(0.8 + x) + 6.8 4.2 + -1x = (0.8 * 5 + x * 5) + 6.8 4.2 + -1x = (4 + 5x) + 6.8 Reorder the terms: 4.2 + -1x = 4 + 6.8 + 5x Combine like terms: 4 + 6.8 = 10.8 4.2 + -1x = 10.8 + 5x Solving 4.2 + -1x = 10.8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4.2 + -1x + -5x = 10.8 + 5x + -5x Combine like terms: -1x + -5x = -6x 4.2 + -6x = 10.8 + 5x + -5x Combine like terms: 5x + -5x = 0 4.2 + -6x = 10.8 + 0 4.2 + -6x = 10.8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -6x = 10.8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -6x = 10.8 + -4.2 -6x = 10.8 + -4.2 Combine like terms: 10.8 + -4.2 = 6.6 -6x = 6.6 Divide each side by '-6'. x = -1.1 Simplifying x = -1.1
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