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Simplifying -1[9x + -1(-19x + 7)] = 7 + (9x + 10) Reorder the terms: -1[9x + -1(7 + -19x)] = 7 + (9x + 10) -1[9x + (7 * -1 + -19x * -1)] = 7 + (9x + 10) -1[9x + (-7 + 19x)] = 7 + (9x + 10) Reorder the terms: -1[-7 + 9x + 19x] = 7 + (9x + 10) Combine like terms: 9x + 19x = 28x -1[-7 + 28x] = 7 + (9x + 10) [-7 * -1 + 28x * -1] = 7 + (9x + 10) [7 + -28x] = 7 + (9x + 10) Reorder the terms: 7 + -28x = 7 + (10 + 9x) Remove parenthesis around (10 + 9x) 7 + -28x = 7 + 10 + 9x Combine like terms: 7 + 10 = 17 7 + -28x = 17 + 9x Solving 7 + -28x = 17 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + -28x + -9x = 17 + 9x + -9x Combine like terms: -28x + -9x = -37x 7 + -37x = 17 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -37x = 17 + 0 7 + -37x = 17 Add '-7' to each side of the equation. 7 + -7 + -37x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -37x = 17 + -7 -37x = 17 + -7 Combine like terms: 17 + -7 = 10 -37x = 10 Divide each side by '-37'. x = -0.2702702703 Simplifying x = -0.2702702703
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