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Simplifying 38(63x + 56) = 32(76x + 19) Reorder the terms: 38(56 + 63x) = 32(76x + 19) (56 * 38 + 63x * 38) = 32(76x + 19) (2128 + 2394x) = 32(76x + 19) Reorder the terms: 2128 + 2394x = 32(19 + 76x) 2128 + 2394x = (19 * 32 + 76x * 32) 2128 + 2394x = (608 + 2432x) Solving 2128 + 2394x = 608 + 2432x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2432x' to each side of the equation. 2128 + 2394x + -2432x = 608 + 2432x + -2432x Combine like terms: 2394x + -2432x = -38x 2128 + -38x = 608 + 2432x + -2432x Combine like terms: 2432x + -2432x = 0 2128 + -38x = 608 + 0 2128 + -38x = 608 Add '-2128' to each side of the equation. 2128 + -2128 + -38x = 608 + -2128 Combine like terms: 2128 + -2128 = 0 0 + -38x = 608 + -2128 -38x = 608 + -2128 Combine like terms: 608 + -2128 = -1520 -38x = -1520 Divide each side by '-38'. x = 40 Simplifying x = 40
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