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Simplifying -4x + 6 = 2x + -46 Reorder the terms: 6 + -4x = 2x + -46 Reorder the terms: 6 + -4x = -46 + 2x Solving 6 + -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. 6 + -4x + -2x = -46 + 2x + -2x Combine like terms: -4x + -2x = -6x 6 + -6x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -6x = -46 + 0 6 + -6x = -46 Add '-6' to each side of the equation. 6 + -6 + -6x = -46 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -46 + -6 -6x = -46 + -6 Combine like terms: -46 + -6 = -52 -6x = -52 Divide each side by '-6'. x = 8.666666667 Simplifying x = 8.666666667
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