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Simplifying (19 + -7x) + 32(19 + -7x) = 25(7x + -19) Remove parenthesis around (19 + -7x) 19 + -7x + 32(19 + -7x) = 25(7x + -19) 19 + -7x + (19 * 32 + -7x * 32) = 25(7x + -19) 19 + -7x + (608 + -224x) = 25(7x + -19) Reorder the terms: 19 + 608 + -7x + -224x = 25(7x + -19) Combine like terms: 19 + 608 = 627 627 + -7x + -224x = 25(7x + -19) Combine like terms: -7x + -224x = -231x 627 + -231x = 25(7x + -19) Reorder the terms: 627 + -231x = 25(-19 + 7x) 627 + -231x = (-19 * 25 + 7x * 25) 627 + -231x = (-475 + 175x) Solving 627 + -231x = -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. 627 + -231x + -175x = -475 + 175x + -175x Combine like terms: -231x + -175x = -406x 627 + -406x = -475 + 175x + -175x Combine like terms: 175x + -175x = 0 627 + -406x = -475 + 0 627 + -406x = -475 Add '-627' to each side of the equation. 627 + -627 + -406x = -475 + -627 Combine like terms: 627 + -627 = 0 0 + -406x = -475 + -627 -406x = -475 + -627 Combine like terms: -475 + -627 = -1102 -406x = -1102 Divide each side by '-406'. x = 2.714285714 Simplifying x = 2.714285714
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