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Simplifying -6.7(3x + 5) + -202(2x + -4) = 0 Reorder the terms: -6.7(5 + 3x) + -202(2x + -4) = 0 (5 * -6.7 + 3x * -6.7) + -202(2x + -4) = 0 (-33.5 + -20.1x) + -202(2x + -4) = 0 Reorder the terms: -33.5 + -20.1x + -202(-4 + 2x) = 0 -33.5 + -20.1x + (-4 * -202 + 2x * -202) = 0 -33.5 + -20.1x + (808 + -404x) = 0 Reorder the terms: -33.5 + 808 + -20.1x + -404x = 0 Combine like terms: -33.5 + 808 = 774.5 774.5 + -20.1x + -404x = 0 Combine like terms: -20.1x + -404x = -424.1x 774.5 + -424.1x = 0 Solving 774.5 + -424.1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-774.5' to each side of the equation. 774.5 + -774.5 + -424.1x = 0 + -774.5 Combine like terms: 774.5 + -774.5 = 0.0 0.0 + -424.1x = 0 + -774.5 -424.1x = 0 + -774.5 Combine like terms: 0 + -774.5 = -774.5 -424.1x = -774.5 Divide each side by '-424.1'. x = 1.826220231 Simplifying x = 1.826220231
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