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Simplifying 4(25 + -3x) = 26(x + -21) (25 * 4 + -3x * 4) = 26(x + -21) (100 + -12x) = 26(x + -21) Reorder the terms: 100 + -12x = 26(-21 + x) 100 + -12x = (-21 * 26 + x * 26) 100 + -12x = (-546 + 26x) Solving 100 + -12x = -546 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 100 + -12x + -26x = -546 + 26x + -26x Combine like terms: -12x + -26x = -38x 100 + -38x = -546 + 26x + -26x Combine like terms: 26x + -26x = 0 100 + -38x = -546 + 0 100 + -38x = -546 Add '-100' to each side of the equation. 100 + -100 + -38x = -546 + -100 Combine like terms: 100 + -100 = 0 0 + -38x = -546 + -100 -38x = -546 + -100 Combine like terms: -546 + -100 = -646 -38x = -646 Divide each side by '-38'. x = 17 Simplifying x = 17
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