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Simplifying 9.25x + -1(8.25x + 12.1) = -1(x + 18.9) + -4.2 Reorder the terms: 9.25x + -1(12.1 + 8.25x) = -1(x + 18.9) + -4.2 9.25x + (12.1 * -1 + 8.25x * -1) = -1(x + 18.9) + -4.2 9.25x + (-12.1 + -8.25x) = -1(x + 18.9) + -4.2 Reorder the terms: -12.1 + 9.25x + -8.25x = -1(x + 18.9) + -4.2 Combine like terms: 9.25x + -8.25x = 1x -12.1 + 1x = -1(x + 18.9) + -4.2 Reorder the terms: -12.1 + 1x = -1(18.9 + x) + -4.2 -12.1 + 1x = (18.9 * -1 + x * -1) + -4.2 -12.1 + 1x = (-18.9 + -1x) + -4.2 Reorder the terms: -12.1 + 1x = -18.9 + -4.2 + -1x Combine like terms: -18.9 + -4.2 = -23.1 -12.1 + 1x = -23.1 + -1x Solving -12.1 + 1x = -23.1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12.1 + 1x + x = -23.1 + -1x + x Combine like terms: 1x + x = 2x -12.1 + 2x = -23.1 + -1x + x Combine like terms: -1x + x = 0 -12.1 + 2x = -23.1 + 0 -12.1 + 2x = -23.1 Add '12.1' to each side of the equation. -12.1 + 12.1 + 2x = -23.1 + 12.1 Combine like terms: -12.1 + 12.1 = 0.0 0.0 + 2x = -23.1 + 12.1 2x = -23.1 + 12.1 Combine like terms: -23.1 + 12.1 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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