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Simplifying 2[3 + -5(x + -1)] = 7x + -1 Reorder the terms: 2[3 + -5(-1 + x)] = 7x + -1 2[3 + (-1 * -5 + x * -5)] = 7x + -1 2[3 + (5 + -5x)] = 7x + -1 Combine like terms: 3 + 5 = 8 2[8 + -5x] = 7x + -1 [8 * 2 + -5x * 2] = 7x + -1 [16 + -10x] = 7x + -1 Reorder the terms: 16 + -10x = -1 + 7x Solving 16 + -10x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + -10x + -7x = -1 + 7x + -7x Combine like terms: -10x + -7x = -17x 16 + -17x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -17x = -1 + 0 16 + -17x = -1 Add '-16' to each side of the equation. 16 + -16 + -17x = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -17x = -1 + -16 -17x = -1 + -16 Combine like terms: -1 + -16 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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