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Simplifying (0.75x + 2) + -1(1.25x + -6) = 0 Reorder the terms: (2 + 0.75x) + -1(1.25x + -6) = 0 Remove parenthesis around (2 + 0.75x) 2 + 0.75x + -1(1.25x + -6) = 0 Reorder the terms: 2 + 0.75x + -1(-6 + 1.25x) = 0 2 + 0.75x + (-6 * -1 + 1.25x * -1) = 0 2 + 0.75x + (6 + -1.25x) = 0 Reorder the terms: 2 + 6 + 0.75x + -1.25x = 0 Combine like terms: 2 + 6 = 8 8 + 0.75x + -1.25x = 0 Combine like terms: 0.75x + -1.25x = -0.5x 8 + -0.5x = 0 Solving 8 + -0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -0.5x = 0 + -8 -0.5x = 0 + -8 Combine like terms: 0 + -8 = -8 -0.5x = -8 Divide each side by '-0.5'. x = 16 Simplifying x = 16
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