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Simplifying 8[3 + -1(4 + 4x)] = -10 + 2(1 + -18x) 8[3 + (4 * -1 + 4x * -1)] = -10 + 2(1 + -18x) 8[3 + (-4 + -4x)] = -10 + 2(1 + -18x) Combine like terms: 3 + -4 = -1 8[-1 + -4x] = -10 + 2(1 + -18x) [-1 * 8 + -4x * 8] = -10 + 2(1 + -18x) [-8 + -32x] = -10 + 2(1 + -18x) -8 + -32x = -10 + (1 * 2 + -18x * 2) -8 + -32x = -10 + (2 + -36x) Combine like terms: -10 + 2 = -8 -8 + -32x = -8 + -36x Add '8' to each side of the equation. -8 + 8 + -32x = -8 + 8 + -36x Combine like terms: -8 + 8 = 0 0 + -32x = -8 + 8 + -36x -32x = -8 + 8 + -36x Combine like terms: -8 + 8 = 0 -32x = 0 + -36x -32x = -36x Solving -32x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -32x + 36x = -36x + 36x Combine like terms: -32x + 36x = 4x 4x = -36x + 36x Combine like terms: -36x + 36x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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