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Simplifying -46 = -4x + 2(3x + -16) Reorder the terms: -46 = -4x + 2(-16 + 3x) -46 = -4x + (-16 * 2 + 3x * 2) -46 = -4x + (-32 + 6x) Reorder the terms: -46 = -32 + -4x + 6x Combine like terms: -4x + 6x = 2x -46 = -32 + 2x Solving -46 = -32 + 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. -46 + -2x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -46 + -2x = -32 + 0 -46 + -2x = -32 Add '46' to each side of the equation. -46 + 46 + -2x = -32 + 46 Combine like terms: -46 + 46 = 0 0 + -2x = -32 + 46 -2x = -32 + 46 Combine like terms: -32 + 46 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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