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Simplifying -4x + 46 = -6(x + -9) Reorder the terms: 46 + -4x = -6(x + -9) Reorder the terms: 46 + -4x = -6(-9 + x) 46 + -4x = (-9 * -6 + x * -6) 46 + -4x = (54 + -6x) Solving 46 + -4x = 54 + -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 + -4x + 6x = 54 + -6x + 6x Combine like terms: -4x + 6x = 2x 46 + 2x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 46 + 2x = 54 + 0 46 + 2x = 54 Add '-46' to each side of the equation. 46 + -46 + 2x = 54 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 54 + -46 2x = 54 + -46 Combine like terms: 54 + -46 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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