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Simplifying -8x + 4(2x + -6) = -15 + -9x Reorder the terms: -8x + 4(-6 + 2x) = -15 + -9x -8x + (-6 * 4 + 2x * 4) = -15 + -9x -8x + (-24 + 8x) = -15 + -9x Reorder the terms: -24 + -8x + 8x = -15 + -9x Combine like terms: -8x + 8x = 0 -24 + 0 = -15 + -9x -24 = -15 + -9x Solving -24 = -15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + 9x = -15 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 9x = -15 + 0 -24 + 9x = -15 Add '24' to each side of the equation. -24 + 24 + 9x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = -15 + 24 9x = -15 + 24 Combine like terms: -15 + 24 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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