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Simplifying 6[1 + -1(4x + -3)] = 8(4 + -2x) Reorder the terms: 6[1 + -1(-3 + 4x)] = 8(4 + -2x) 6[1 + (-3 * -1 + 4x * -1)] = 8(4 + -2x) 6[1 + (3 + -4x)] = 8(4 + -2x) Combine like terms: 1 + 3 = 4 6[4 + -4x] = 8(4 + -2x) [4 * 6 + -4x * 6] = 8(4 + -2x) [24 + -24x] = 8(4 + -2x) 24 + -24x = (4 * 8 + -2x * 8) 24 + -24x = (32 + -16x) Solving 24 + -24x = 32 + -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. 24 + -24x + 16x = 32 + -16x + 16x Combine like terms: -24x + 16x = -8x 24 + -8x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 24 + -8x = 32 + 0 24 + -8x = 32 Add '-24' to each side of the equation. 24 + -24 + -8x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 32 + -24 -8x = 32 + -24 Combine like terms: 32 + -24 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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