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Simplifying 8(26 + -3x) = 5(5x + -27) (26 * 8 + -3x * 8) = 5(5x + -27) (208 + -24x) = 5(5x + -27) Reorder the terms: 208 + -24x = 5(-27 + 5x) 208 + -24x = (-27 * 5 + 5x * 5) 208 + -24x = (-135 + 25x) Solving 208 + -24x = -135 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 208 + -24x + -25x = -135 + 25x + -25x Combine like terms: -24x + -25x = -49x 208 + -49x = -135 + 25x + -25x Combine like terms: 25x + -25x = 0 208 + -49x = -135 + 0 208 + -49x = -135 Add '-208' to each side of the equation. 208 + -208 + -49x = -135 + -208 Combine like terms: 208 + -208 = 0 0 + -49x = -135 + -208 -49x = -135 + -208 Combine like terms: -135 + -208 = -343 -49x = -343 Divide each side by '-49'. x = 7 Simplifying x = 7
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