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Simplifying 6[4x + 7 + -2(x + 1)] = -4x + -5 Reorder the terms: 6[4x + 7 + -2(1 + x)] = -4x + -5 6[4x + 7 + (1 * -2 + x * -2)] = -4x + -5 6[4x + 7 + (-2 + -2x)] = -4x + -5 Reorder the terms: 6[7 + -2 + 4x + -2x] = -4x + -5 Combine like terms: 7 + -2 = 5 6[5 + 4x + -2x] = -4x + -5 Combine like terms: 4x + -2x = 2x 6[5 + 2x] = -4x + -5 [5 * 6 + 2x * 6] = -4x + -5 [30 + 12x] = -4x + -5 Reorder the terms: 30 + 12x = -5 + -4x Solving 30 + 12x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 30 + 12x + 4x = -5 + -4x + 4x Combine like terms: 12x + 4x = 16x 30 + 16x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 30 + 16x = -5 + 0 30 + 16x = -5 Add '-30' to each side of the equation. 30 + -30 + 16x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 16x = -5 + -30 16x = -5 + -30 Combine like terms: -5 + -30 = -35 16x = -35 Divide each side by '16'. x = -2.1875 Simplifying x = -2.1875
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