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Simplifying 0.36(2x + -5) + -0.76(3x + 2) + 0.83 = 30.27 Reorder the terms: 0.36(-5 + 2x) + -0.76(3x + 2) + 0.83 = 30.27 (-5 * 0.36 + 2x * 0.36) + -0.76(3x + 2) + 0.83 = 30.27 (-1.8 + 0.72x) + -0.76(3x + 2) + 0.83 = 30.27 Reorder the terms: -1.8 + 0.72x + -0.76(2 + 3x) + 0.83 = 30.27 -1.8 + 0.72x + (2 * -0.76 + 3x * -0.76) + 0.83 = 30.27 -1.8 + 0.72x + (-1.52 + -2.28x) + 0.83 = 30.27 Reorder the terms: -1.8 + -1.52 + 0.83 + 0.72x + -2.28x = 30.27 Combine like terms: -1.8 + -1.52 = -3.32 -3.32 + 0.83 + 0.72x + -2.28x = 30.27 Combine like terms: -3.32 + 0.83 = -2.49 -2.49 + 0.72x + -2.28x = 30.27 Combine like terms: 0.72x + -2.28x = -1.56x -2.49 + -1.56x = 30.27 Solving -2.49 + -1.56x = 30.27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.49' to each side of the equation. -2.49 + 2.49 + -1.56x = 30.27 + 2.49 Combine like terms: -2.49 + 2.49 = 0.00 0.00 + -1.56x = 30.27 + 2.49 -1.56x = 30.27 + 2.49 Combine like terms: 30.27 + 2.49 = 32.76 -1.56x = 32.76 Divide each side by '-1.56'. x = -21 Simplifying x = -21
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