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Simplifying (1 + -1(0.5x + -15.8)) = 12.8 + -0.7x Reorder the terms: (1 + -1(-15.8 + 0.5x)) = 12.8 + -0.7x (1 + (-15.8 * -1 + 0.5x * -1)) = 12.8 + -0.7x (1 + (15.8 + -0.5x)) = 12.8 + -0.7x Combine like terms: 1 + 15.8 = 16.8 (16.8 + -0.5x) = 12.8 + -0.7x Remove parenthesis around (16.8 + -0.5x) 16.8 + -0.5x = 12.8 + -0.7x Solving 16.8 + -0.5x = 12.8 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 16.8 + -0.5x + 0.7x = 12.8 + -0.7x + 0.7x Combine like terms: -0.5x + 0.7x = 0.2x 16.8 + 0.2x = 12.8 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 16.8 + 0.2x = 12.8 + 0.0 16.8 + 0.2x = 12.8 Add '-16.8' to each side of the equation. 16.8 + -16.8 + 0.2x = 12.8 + -16.8 Combine like terms: 16.8 + -16.8 = 0.0 0.0 + 0.2x = 12.8 + -16.8 0.2x = 12.8 + -16.8 Combine like terms: 12.8 + -16.8 = -4 0.2x = -4 Divide each side by '0.2'. x = -20 Simplifying x = -20
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