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Simplifying -4(8x + -1) = -9x + -19 Reorder the terms: -4(-1 + 8x) = -9x + -19 (-1 * -4 + 8x * -4) = -9x + -19 (4 + -32x) = -9x + -19 Reorder the terms: 4 + -32x = -19 + -9x Solving 4 + -32x = -19 + -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. 4 + -32x + 9x = -19 + -9x + 9x Combine like terms: -32x + 9x = -23x 4 + -23x = -19 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + -23x = -19 + 0 4 + -23x = -19 Add '-4' to each side of the equation. 4 + -4 + -23x = -19 + -4 Combine like terms: 4 + -4 = 0 0 + -23x = -19 + -4 -23x = -19 + -4 Combine like terms: -19 + -4 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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