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Simplifying -11.1(x + -27) + 33.3(x + 3) = x + -17 Reorder the terms: -11.1(-27 + x) + 33.3(x + 3) = x + -17 (-27 * -11.1 + x * -11.1) + 33.3(x + 3) = x + -17 (299.7 + -11.1x) + 33.3(x + 3) = x + -17 Reorder the terms: 299.7 + -11.1x + 33.3(3 + x) = x + -17 299.7 + -11.1x + (3 * 33.3 + x * 33.3) = x + -17 299.7 + -11.1x + (99.9 + 33.3x) = x + -17 Reorder the terms: 299.7 + 99.9 + -11.1x + 33.3x = x + -17 Combine like terms: 299.7 + 99.9 = 399.6 399.6 + -11.1x + 33.3x = x + -17 Combine like terms: -11.1x + 33.3x = 22.2x 399.6 + 22.2x = x + -17 Reorder the terms: 399.6 + 22.2x = -17 + x Solving 399.6 + 22.2x = -17 + 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. 399.6 + 22.2x + -1x = -17 + x + -1x Combine like terms: 22.2x + -1x = 21.2x 399.6 + 21.2x = -17 + x + -1x Combine like terms: x + -1x = 0 399.6 + 21.2x = -17 + 0 399.6 + 21.2x = -17 Add '-399.6' to each side of the equation. 399.6 + -399.6 + 21.2x = -17 + -399.6 Combine like terms: 399.6 + -399.6 = 0.0 0.0 + 21.2x = -17 + -399.6 21.2x = -17 + -399.6 Combine like terms: -17 + -399.6 = -416.6 21.2x = -416.6 Divide each side by '21.2'. x = -19.6509434 Simplifying x = -19.6509434
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