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Simplifying 4(9x + 7) + -19 = 19x + 11 + 17 + -2 Reorder the terms: 4(7 + 9x) + -19 = 19x + 11 + 17 + -2 (7 * 4 + 9x * 4) + -19 = 19x + 11 + 17 + -2 (28 + 36x) + -19 = 19x + 11 + 17 + -2 Reorder the terms: 28 + -19 + 36x = 19x + 11 + 17 + -2 Combine like terms: 28 + -19 = 9 9 + 36x = 19x + 11 + 17 + -2 Reorder the terms: 9 + 36x = 11 + 17 + -2 + 19x Combine like terms: 11 + 17 = 28 9 + 36x = 28 + -2 + 19x Combine like terms: 28 + -2 = 26 9 + 36x = 26 + 19x Solving 9 + 36x = 26 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 9 + 36x + -19x = 26 + 19x + -19x Combine like terms: 36x + -19x = 17x 9 + 17x = 26 + 19x + -19x Combine like terms: 19x + -19x = 0 9 + 17x = 26 + 0 9 + 17x = 26 Add '-9' to each side of the equation. 9 + -9 + 17x = 26 + -9 Combine like terms: 9 + -9 = 0 0 + 17x = 26 + -9 17x = 26 + -9 Combine like terms: 26 + -9 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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