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Simplifying -6[-3x + -2 + -7(x + 1)] = -2x + 3 Reorder the terms: -6[-3x + -2 + -7(1 + x)] = -2x + 3 -6[-3x + -2 + (1 * -7 + x * -7)] = -2x + 3 -6[-3x + -2 + (-7 + -7x)] = -2x + 3 Reorder the terms: -6[-2 + -7 + -3x + -7x] = -2x + 3 Combine like terms: -2 + -7 = -9 -6[-9 + -3x + -7x] = -2x + 3 Combine like terms: -3x + -7x = -10x -6[-9 + -10x] = -2x + 3 [-9 * -6 + -10x * -6] = -2x + 3 [54 + 60x] = -2x + 3 Reorder the terms: 54 + 60x = 3 + -2x Solving 54 + 60x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 54 + 60x + 2x = 3 + -2x + 2x Combine like terms: 60x + 2x = 62x 54 + 62x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 54 + 62x = 3 + 0 54 + 62x = 3 Add '-54' to each side of the equation. 54 + -54 + 62x = 3 + -54 Combine like terms: 54 + -54 = 0 0 + 62x = 3 + -54 62x = 3 + -54 Combine like terms: 3 + -54 = -51 62x = -51 Divide each side by '62'. x = -0.8225806452 Simplifying x = -0.8225806452
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