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Simplifying 0.11(x + -27) + 0.33(x + 3) = x + 25 Reorder the terms: 0.11(-27 + x) + 0.33(x + 3) = x + 25 (-27 * 0.11 + x * 0.11) + 0.33(x + 3) = x + 25 (-2.97 + 0.11x) + 0.33(x + 3) = x + 25 Reorder the terms: -2.97 + 0.11x + 0.33(3 + x) = x + 25 -2.97 + 0.11x + (3 * 0.33 + x * 0.33) = x + 25 -2.97 + 0.11x + (0.99 + 0.33x) = x + 25 Reorder the terms: -2.97 + 0.99 + 0.11x + 0.33x = x + 25 Combine like terms: -2.97 + 0.99 = -1.98 -1.98 + 0.11x + 0.33x = x + 25 Combine like terms: 0.11x + 0.33x = 0.44x -1.98 + 0.44x = x + 25 Reorder the terms: -1.98 + 0.44x = 25 + x Solving -1.98 + 0.44x = 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. -1.98 + 0.44x + -1x = 25 + x + -1x Combine like terms: 0.44x + -1x = -0.56x -1.98 + -0.56x = 25 + x + -1x Combine like terms: x + -1x = 0 -1.98 + -0.56x = 25 + 0 -1.98 + -0.56x = 25 Add '1.98' to each side of the equation. -1.98 + 1.98 + -0.56x = 25 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -0.56x = 25 + 1.98 -0.56x = 25 + 1.98 Combine like terms: 25 + 1.98 = 26.98 -0.56x = 26.98 Divide each side by '-0.56'. x = -48.17857143 Simplifying x = -48.17857143
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