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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 = 10x 46 + 10x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 46 + 10x = -54 + 0 46 + 10x = -54 Add '-46' to each side of the equation. 46 + -46 + 10x = -54 + -46 Combine like terms: 46 + -46 = 0 0 + 10x = -54 + -46 10x = -54 + -46 Combine like terms: -54 + -46 = -100 10x = -100 Divide each side by '10'. x = -10 Simplifying x = -10
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