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Simplifying 4(x + 9) = -6(x + -1) Reorder the terms: 4(9 + x) = -6(x + -1) (9 * 4 + x * 4) = -6(x + -1) (36 + 4x) = -6(x + -1) Reorder the terms: 36 + 4x = -6(-1 + x) 36 + 4x = (-1 * -6 + x * -6) 36 + 4x = (6 + -6x) Solving 36 + 4x = 6 + -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. 36 + 4x + 6x = 6 + -6x + 6x Combine like terms: 4x + 6x = 10x 36 + 10x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 36 + 10x = 6 + 0 36 + 10x = 6 Add '-36' to each side of the equation. 36 + -36 + 10x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 6 + -36 10x = 6 + -36 Combine like terms: 6 + -36 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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