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Simplifying -46 = -2(1 + 4x) + 6(-2 + -4x) -46 = (1 * -2 + 4x * -2) + 6(-2 + -4x) -46 = (-2 + -8x) + 6(-2 + -4x) -46 = -2 + -8x + (-2 * 6 + -4x * 6) -46 = -2 + -8x + (-12 + -24x) Reorder the terms: -46 = -2 + -12 + -8x + -24x Combine like terms: -2 + -12 = -14 -46 = -14 + -8x + -24x Combine like terms: -8x + -24x = -32x -46 = -14 + -32x Solving -46 = -14 + -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. -46 + 32x = -14 + -32x + 32x Combine like terms: -32x + 32x = 0 -46 + 32x = -14 + 0 -46 + 32x = -14 Add '46' to each side of the equation. -46 + 46 + 32x = -14 + 46 Combine like terms: -46 + 46 = 0 0 + 32x = -14 + 46 32x = -14 + 46 Combine like terms: -14 + 46 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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