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Simplifying -8.83 + -2.7x = 5.3(x + 4.2) Reorder the terms: -8.83 + -2.7x = 5.3(4.2 + x) -8.83 + -2.7x = (4.2 * 5.3 + x * 5.3) -8.83 + -2.7x = (22.26 + 5.3x) Solving -8.83 + -2.7x = 22.26 + 5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.3x' to each side of the equation. -8.83 + -2.7x + -5.3x = 22.26 + 5.3x + -5.3x Combine like terms: -2.7x + -5.3x = -8x -8.83 + -8x = 22.26 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 -8.83 + -8x = 22.26 + 0.0 -8.83 + -8x = 22.26 Add '8.83' to each side of the equation. -8.83 + 8.83 + -8x = 22.26 + 8.83 Combine like terms: -8.83 + 8.83 = 0.00 0.00 + -8x = 22.26 + 8.83 -8x = 22.26 + 8.83 Combine like terms: 22.26 + 8.83 = 31.09 -8x = 31.09 Divide each side by '-8'. x = -3.88625 Simplifying x = -3.88625
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