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Simplifying -5(-14x + -9) = -49(-21 + -4x) Reorder the terms: -5(-9 + -14x) = -49(-21 + -4x) (-9 * -5 + -14x * -5) = -49(-21 + -4x) (45 + 70x) = -49(-21 + -4x) 45 + 70x = (-21 * -49 + -4x * -49) 45 + 70x = (1029 + 196x) Solving 45 + 70x = 1029 + 196x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-196x' to each side of the equation. 45 + 70x + -196x = 1029 + 196x + -196x Combine like terms: 70x + -196x = -126x 45 + -126x = 1029 + 196x + -196x Combine like terms: 196x + -196x = 0 45 + -126x = 1029 + 0 45 + -126x = 1029 Add '-45' to each side of the equation. 45 + -45 + -126x = 1029 + -45 Combine like terms: 45 + -45 = 0 0 + -126x = 1029 + -45 -126x = 1029 + -45 Combine like terms: 1029 + -45 = 984 -126x = 984 Divide each side by '-126'. x = -7.80952381 Simplifying x = -7.80952381
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