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Simplifying -0.1111111111(x + -27) + 0.333(x + 3) = x + 25 Reorder the terms: -0.1111111111(-27 + x) + 0.333(x + 3) = x + 25 (-27 * -0.1111111111 + x * -0.1111111111) + 0.333(x + 3) = x + 25 (3 + -0.1111111111x) + 0.333(x + 3) = x + 25 Reorder the terms: 3 + -0.1111111111x + 0.333(3 + x) = x + 25 3 + -0.1111111111x + (3 * 0.333 + x * 0.333) = x + 25 3 + -0.1111111111x + (0.999 + 0.333x) = x + 25 Reorder the terms: 3 + 0.999 + -0.1111111111x + 0.333x = x + 25 Combine like terms: 3 + 0.999 = 3.999 3.999 + -0.1111111111x + 0.333x = x + 25 Combine like terms: -0.1111111111x + 0.333x = 0.2218888889x 3.999 + 0.2218888889x = x + 25 Reorder the terms: 3.999 + 0.2218888889x = 25 + x Solving 3.999 + 0.2218888889x = 25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.999 + 0.2218888889x + -1x = 25 + x + -1x Combine like terms: 0.2218888889x + -1x = -0.7781111111x 3.999 + -0.7781111111x = 25 + x + -1x Combine like terms: x + -1x = 0 3.999 + -0.7781111111x = 25 + 0 3.999 + -0.7781111111x = 25 Add '-3.999' to each side of the equation. 3.999 + -3.999 + -0.7781111111x = 25 + -3.999 Combine like terms: 3.999 + -3.999 = 0.000 0.000 + -0.7781111111x = 25 + -3.999 -0.7781111111x = 25 + -3.999 Combine like terms: 25 + -3.999 = 21.001 -0.7781111111x = 21.001 Divide each side by '-0.7781111111'. x = -26.98971869 Simplifying x = -26.98971869
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