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Simplifying -3.2(x + 0.5) = 1.7(x + -8.5) Reorder the terms: -3.2(0.5 + x) = 1.7(x + -8.5) (0.5 * -3.2 + x * -3.2) = 1.7(x + -8.5) (-1.6 + -3.2x) = 1.7(x + -8.5) Reorder the terms: -1.6 + -3.2x = 1.7(-8.5 + x) -1.6 + -3.2x = (-8.5 * 1.7 + x * 1.7) -1.6 + -3.2x = (-14.45 + 1.7x) Solving -1.6 + -3.2x = -14.45 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. -1.6 + -3.2x + -1.7x = -14.45 + 1.7x + -1.7x Combine like terms: -3.2x + -1.7x = -4.9x -1.6 + -4.9x = -14.45 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 -1.6 + -4.9x = -14.45 + 0.0 -1.6 + -4.9x = -14.45 Add '1.6' to each side of the equation. -1.6 + 1.6 + -4.9x = -14.45 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -4.9x = -14.45 + 1.6 -4.9x = -14.45 + 1.6 Combine like terms: -14.45 + 1.6 = -12.85 -4.9x = -12.85 Divide each side by '-4.9'. x = 2.62244898 Simplifying x = 2.62244898
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