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Simplifying -8x + 100 = 6(x + -30) Reorder the terms: 100 + -8x = 6(x + -30) Reorder the terms: 100 + -8x = 6(-30 + x) 100 + -8x = (-30 * 6 + x * 6) 100 + -8x = (-180 + 6x) Solving 100 + -8x = -180 + 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. 100 + -8x + -6x = -180 + 6x + -6x Combine like terms: -8x + -6x = -14x 100 + -14x = -180 + 6x + -6x Combine like terms: 6x + -6x = 0 100 + -14x = -180 + 0 100 + -14x = -180 Add '-100' to each side of the equation. 100 + -100 + -14x = -180 + -100 Combine like terms: 100 + -100 = 0 0 + -14x = -180 + -100 -14x = -180 + -100 Combine like terms: -180 + -100 = -280 -14x = -280 Divide each side by '-14'. x = 20 Simplifying x = 20
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