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Simplifying 8x + 4(-2x + -2) = 1 + -9x Reorder the terms: 8x + 4(-2 + -2x) = 1 + -9x 8x + (-2 * 4 + -2x * 4) = 1 + -9x 8x + (-8 + -8x) = 1 + -9x Reorder the terms: -8 + 8x + -8x = 1 + -9x Combine like terms: 8x + -8x = 0 -8 + 0 = 1 + -9x -8 = 1 + -9x Solving -8 = 1 + -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. -8 + 9x = 1 + -9x + 9x Combine like terms: -9x + 9x = 0 -8 + 9x = 1 + 0 -8 + 9x = 1 Add '8' to each side of the equation. -8 + 8 + 9x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 1 + 8 9x = 1 + 8 Combine like terms: 1 + 8 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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