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Simplifying (17x + 22) + -1(5x + 9) = (11x + 15) + -1(22 + -21x) Reorder the terms: (22 + 17x) + -1(5x + 9) = (11x + 15) + -1(22 + -21x) Remove parenthesis around (22 + 17x) 22 + 17x + -1(5x + 9) = (11x + 15) + -1(22 + -21x) Reorder the terms: 22 + 17x + -1(9 + 5x) = (11x + 15) + -1(22 + -21x) 22 + 17x + (9 * -1 + 5x * -1) = (11x + 15) + -1(22 + -21x) 22 + 17x + (-9 + -5x) = (11x + 15) + -1(22 + -21x) Reorder the terms: 22 + -9 + 17x + -5x = (11x + 15) + -1(22 + -21x) Combine like terms: 22 + -9 = 13 13 + 17x + -5x = (11x + 15) + -1(22 + -21x) Combine like terms: 17x + -5x = 12x 13 + 12x = (11x + 15) + -1(22 + -21x) Reorder the terms: 13 + 12x = (15 + 11x) + -1(22 + -21x) Remove parenthesis around (15 + 11x) 13 + 12x = 15 + 11x + -1(22 + -21x) 13 + 12x = 15 + 11x + (22 * -1 + -21x * -1) 13 + 12x = 15 + 11x + (-22 + 21x) Reorder the terms: 13 + 12x = 15 + -22 + 11x + 21x Combine like terms: 15 + -22 = -7 13 + 12x = -7 + 11x + 21x Combine like terms: 11x + 21x = 32x 13 + 12x = -7 + 32x Solving 13 + 12x = -7 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 13 + 12x + -32x = -7 + 32x + -32x Combine like terms: 12x + -32x = -20x 13 + -20x = -7 + 32x + -32x Combine like terms: 32x + -32x = 0 13 + -20x = -7 + 0 13 + -20x = -7 Add '-13' to each side of the equation. 13 + -13 + -20x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -20x = -7 + -13 -20x = -7 + -13 Combine like terms: -7 + -13 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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