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Simplifying 0.27(5x + -2) + 0.55(4x + 7) + -1.2 = 179.61 Reorder the terms: 0.27(-2 + 5x) + 0.55(4x + 7) + -1.2 = 179.61 (-2 * 0.27 + 5x * 0.27) + 0.55(4x + 7) + -1.2 = 179.61 (-0.54 + 1.35x) + 0.55(4x + 7) + -1.2 = 179.61 Reorder the terms: -0.54 + 1.35x + 0.55(7 + 4x) + -1.2 = 179.61 -0.54 + 1.35x + (7 * 0.55 + 4x * 0.55) + -1.2 = 179.61 -0.54 + 1.35x + (3.85 + 2.2x) + -1.2 = 179.61 Reorder the terms: -0.54 + 3.85 + -1.2 + 1.35x + 2.2x = 179.61 Combine like terms: -0.54 + 3.85 = 3.31 3.31 + -1.2 + 1.35x + 2.2x = 179.61 Combine like terms: 3.31 + -1.2 = 2.11 2.11 + 1.35x + 2.2x = 179.61 Combine like terms: 1.35x + 2.2x = 3.55x 2.11 + 3.55x = 179.61 Solving 2.11 + 3.55x = 179.61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.11' to each side of the equation. 2.11 + -2.11 + 3.55x = 179.61 + -2.11 Combine like terms: 2.11 + -2.11 = 0.00 0.00 + 3.55x = 179.61 + -2.11 3.55x = 179.61 + -2.11 Combine like terms: 179.61 + -2.11 = 177.5 3.55x = 177.5 Divide each side by '3.55'. x = 50 Simplifying x = 50
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