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Simplifying -46 = 4(x + -4) + 2x Reorder the terms: -46 = 4(-4 + x) + 2x -46 = (-4 * 4 + x * 4) + 2x -46 = (-16 + 4x) + 2x Combine like terms: 4x + 2x = 6x -46 = -16 + 6x Solving -46 = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + -6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + -6x = -16 + 0 -46 + -6x = -16 Add '46' to each side of the equation. -46 + 46 + -6x = -16 + 46 Combine like terms: -46 + 46 = 0 0 + -6x = -16 + 46 -6x = -16 + 46 Combine like terms: -16 + 46 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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