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Simplifying 4[1 + -1(9x + -3)] = 8(4 + -4x) Reorder the terms: 4[1 + -1(-3 + 9x)] = 8(4 + -4x) 4[1 + (-3 * -1 + 9x * -1)] = 8(4 + -4x) 4[1 + (3 + -9x)] = 8(4 + -4x) Combine like terms: 1 + 3 = 4 4[4 + -9x] = 8(4 + -4x) [4 * 4 + -9x * 4] = 8(4 + -4x) [16 + -36x] = 8(4 + -4x) 16 + -36x = (4 * 8 + -4x * 8) 16 + -36x = (32 + -32x) Solving 16 + -36x = 32 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 16 + -36x + 32x = 32 + -32x + 32x Combine like terms: -36x + 32x = -4x 16 + -4x = 32 + -32x + 32x Combine like terms: -32x + 32x = 0 16 + -4x = 32 + 0 16 + -4x = 32 Add '-16' to each side of the equation. 16 + -16 + -4x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 32 + -16 -4x = 32 + -16 Combine like terms: 32 + -16 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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