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Simplifying 7[2 + -1(3x + 4x)] + -2x = -9 + 2(1 + -15x) Combine like terms: 3x + 4x = 7x 7[2 + -1(7x)] + -2x = -9 + 2(1 + -15x) Remove parenthesis around (7x) 7[2 + -1 * 7x] + -2x = -9 + 2(1 + -15x) Multiply -1 * 7 7[2 + -7x] + -2x = -9 + 2(1 + -15x) [2 * 7 + -7x * 7] + -2x = -9 + 2(1 + -15x) [14 + -49x] + -2x = -9 + 2(1 + -15x) Combine like terms: -49x + -2x = -51x 14 + -51x = -9 + 2(1 + -15x) 14 + -51x = -9 + (1 * 2 + -15x * 2) 14 + -51x = -9 + (2 + -30x) Combine like terms: -9 + 2 = -7 14 + -51x = -7 + -30x Solving 14 + -51x = -7 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 14 + -51x + 30x = -7 + -30x + 30x Combine like terms: -51x + 30x = -21x 14 + -21x = -7 + -30x + 30x Combine like terms: -30x + 30x = 0 14 + -21x = -7 + 0 14 + -21x = -7 Add '-14' to each side of the equation. 14 + -14 + -21x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -21x = -7 + -14 -21x = -7 + -14 Combine like terms: -7 + -14 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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