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Simplifying -0.8(1 + 6.6x) = -2.63x + -15.2531 (1 * -0.8 + 6.6x * -0.8) = -2.63x + -15.2531 (-0.8 + -5.28x) = -2.63x + -15.2531 Reorder the terms: -0.8 + -5.28x = -15.2531 + -2.63x Solving -0.8 + -5.28x = -15.2531 + -2.63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.63x' to each side of the equation. -0.8 + -5.28x + 2.63x = -15.2531 + -2.63x + 2.63x Combine like terms: -5.28x + 2.63x = -2.65x -0.8 + -2.65x = -15.2531 + -2.63x + 2.63x Combine like terms: -2.63x + 2.63x = 0.00 -0.8 + -2.65x = -15.2531 + 0.00 -0.8 + -2.65x = -15.2531 Add '0.8' to each side of the equation. -0.8 + 0.8 + -2.65x = -15.2531 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -2.65x = -15.2531 + 0.8 -2.65x = -15.2531 + 0.8 Combine like terms: -15.2531 + 0.8 = -14.4531 -2.65x = -14.4531 Divide each side by '-2.65'. x = 5.454 Simplifying x = 5.454
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