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Simplifying 19(x + 1) + -11x = 75 Reorder the terms: 19(1 + x) + -11x = 75 (1 * 19 + x * 19) + -11x = 75 (19 + 19x) + -11x = 75 Combine like terms: 19x + -11x = 8x 19 + 8x = 75 Solving 19 + 8x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8x = 75 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 75 + -19 8x = 75 + -19 Combine like terms: 75 + -19 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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