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Simplifying 0.75x + 0.25(x + 12.4) + (x + -2.1) = 0 Reorder the terms: 0.75x + 0.25(12.4 + x) + (x + -2.1) = 0 0.75x + (12.4 * 0.25 + x * 0.25) + (x + -2.1) = 0 0.75x + (3.1 + 0.25x) + (x + -2.1) = 0 Reorder the terms: 0.75x + 3.1 + 0.25x + (-2.1 + x) = 0 Remove parenthesis around (-2.1 + x) 0.75x + 3.1 + 0.25x + -2.1 + x = 0 Reorder the terms: 3.1 + -2.1 + 0.75x + 0.25x + x = 0 Combine like terms: 3.1 + -2.1 = 1 1 + 0.75x + 0.25x + x = 0 Combine like terms: 0.75x + 0.25x = 1x 1 + 1x + x = 0 Combine like terms: 1x + x = 2x 1 + 2x = 0 Solving 1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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