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Simplifying -1x(3 + -9) = x(5 + -13) + 6(x + 4) Combine like terms: 3 + -9 = -6 -1x(-6) = x(5 + -13) + 6(x + 4) Reorder the terms for easier multiplication: -1 * -6x = x(5 + -13) + 6(x + 4) Multiply -1 * -6 6x = x(5 + -13) + 6(x + 4) Combine like terms: 5 + -13 = -8 6x = x(-8) + 6(x + 4) Reorder the terms for easier multiplication: 6x = -8x + 6(x + 4) Reorder the terms: 6x = -8x + 6(4 + x) 6x = -8x + (4 * 6 + x * 6) 6x = -8x + (24 + 6x) Reorder the terms: 6x = 24 + -8x + 6x Combine like terms: -8x + 6x = -2x 6x = 24 + -2x Solving 6x = 24 + -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. 6x + 2x = 24 + -2x + 2x Combine like terms: 6x + 2x = 8x 8x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 8x = 24 + 0 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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