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Simplifying 4(x + -8) = 2x + -46 Reorder the terms: 4(-8 + x) = 2x + -46 (-8 * 4 + x * 4) = 2x + -46 (-32 + 4x) = 2x + -46 Reorder the terms: -32 + 4x = -46 + 2x Solving -32 + 4x = -46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 4x + -2x = -46 + 2x + -2x Combine like terms: 4x + -2x = 2x -32 + 2x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 2x = -46 + 0 -32 + 2x = -46 Add '32' to each side of the equation. -32 + 32 + 2x = -46 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -46 + 32 2x = -46 + 32 Combine like terms: -46 + 32 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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