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Simplifying 7 + -2(3x + -1) = 2x + 5[3(4x + -1) + (-2)] Reorder the terms: 7 + -2(-1 + 3x) = 2x + 5[3(4x + -1) + (-2)] 7 + (-1 * -2 + 3x * -2) = 2x + 5[3(4x + -1) + (-2)] 7 + (2 + -6x) = 2x + 5[3(4x + -1) + (-2)] Combine like terms: 7 + 2 = 9 9 + -6x = 2x + 5[3(4x + -1) + (-2)] Reorder the terms: 9 + -6x = 2x + 5[3(-1 + 4x) + (-2)] 9 + -6x = 2x + 5[(-1 * 3 + 4x * 3) + (-2)] 9 + -6x = 2x + 5[(-3 + 12x) + (-2)] 9 + -6x = 2x + 5[-3 + 12x + -2] Reorder the terms: 9 + -6x = 2x + 5[-3 + -2 + 12x] Combine like terms: -3 + -2 = -5 9 + -6x = 2x + 5[-5 + 12x] 9 + -6x = 2x + [-5 * 5 + 12x * 5] 9 + -6x = 2x + [-25 + 60x] Reorder the terms: 9 + -6x = -25 + 2x + 60x Combine like terms: 2x + 60x = 62x 9 + -6x = -25 + 62x Solving 9 + -6x = -25 + 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 9 + -6x + -62x = -25 + 62x + -62x Combine like terms: -6x + -62x = -68x 9 + -68x = -25 + 62x + -62x Combine like terms: 62x + -62x = 0 9 + -68x = -25 + 0 9 + -68x = -25 Add '-9' to each side of the equation. 9 + -9 + -68x = -25 + -9 Combine like terms: 9 + -9 = 0 0 + -68x = -25 + -9 -68x = -25 + -9 Combine like terms: -25 + -9 = -34 -68x = -34 Divide each side by '-68'. x = 0.5 Simplifying x = 0.5
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