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Simplifying 43(19x + -7x) + 32(19 + -7x) = 25(7x + -19) Combine like terms: 19x + -7x = 12x 43(12x) + 32(19 + -7x) = 25(7x + -19) Remove parenthesis around (12x) 43 * 12x + 32(19 + -7x) = 25(7x + -19) Multiply 43 * 12 516x + 32(19 + -7x) = 25(7x + -19) 516x + (19 * 32 + -7x * 32) = 25(7x + -19) 516x + (608 + -224x) = 25(7x + -19) Reorder the terms: 608 + 516x + -224x = 25(7x + -19) Combine like terms: 516x + -224x = 292x 608 + 292x = 25(7x + -19) Reorder the terms: 608 + 292x = 25(-19 + 7x) 608 + 292x = (-19 * 25 + 7x * 25) 608 + 292x = (-475 + 175x) Solving 608 + 292x = -475 + 175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175x' to each side of the equation. 608 + 292x + -175x = -475 + 175x + -175x Combine like terms: 292x + -175x = 117x 608 + 117x = -475 + 175x + -175x Combine like terms: 175x + -175x = 0 608 + 117x = -475 + 0 608 + 117x = -475 Add '-608' to each side of the equation. 608 + -608 + 117x = -475 + -608 Combine like terms: 608 + -608 = 0 0 + 117x = -475 + -608 117x = -475 + -608 Combine like terms: -475 + -608 = -1083 117x = -1083 Divide each side by '117'. x = -9.256410256 Simplifying x = -9.256410256
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