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Simplifying -4(2x + -20) + 100 = 6x + 800 Reorder the terms: -4(-20 + 2x) + 100 = 6x + 800 (-20 * -4 + 2x * -4) + 100 = 6x + 800 (80 + -8x) + 100 = 6x + 800 Reorder the terms: 80 + 100 + -8x = 6x + 800 Combine like terms: 80 + 100 = 180 180 + -8x = 6x + 800 Reorder the terms: 180 + -8x = 800 + 6x Solving 180 + -8x = 800 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 180 + -8x + -6x = 800 + 6x + -6x Combine like terms: -8x + -6x = -14x 180 + -14x = 800 + 6x + -6x Combine like terms: 6x + -6x = 0 180 + -14x = 800 + 0 180 + -14x = 800 Add '-180' to each side of the equation. 180 + -180 + -14x = 800 + -180 Combine like terms: 180 + -180 = 0 0 + -14x = 800 + -180 -14x = 800 + -180 Combine like terms: 800 + -180 = 620 -14x = 620 Divide each side by '-14'. x = -44.28571429 Simplifying x = -44.28571429
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