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Simplifying 4[1 + -1(7x + -2)] = 8(3 + -2x) Reorder the terms: 4[1 + -1(-2 + 7x)] = 8(3 + -2x) 4[1 + (-2 * -1 + 7x * -1)] = 8(3 + -2x) 4[1 + (2 + -7x)] = 8(3 + -2x) Combine like terms: 1 + 2 = 3 4[3 + -7x] = 8(3 + -2x) [3 * 4 + -7x * 4] = 8(3 + -2x) [12 + -28x] = 8(3 + -2x) 12 + -28x = (3 * 8 + -2x * 8) 12 + -28x = (24 + -16x) Solving 12 + -28x = 24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + -28x + 16x = 24 + -16x + 16x Combine like terms: -28x + 16x = -12x 12 + -12x = 24 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + -12x = 24 + 0 12 + -12x = 24 Add '-12' to each side of the equation. 12 + -12 + -12x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 24 + -12 -12x = 24 + -12 Combine like terms: 24 + -12 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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