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Simplifying 9x + -4(x + -1) = 8x + 15 + -2x Reorder the terms: 9x + -4(-1 + x) = 8x + 15 + -2x 9x + (-1 * -4 + x * -4) = 8x + 15 + -2x 9x + (4 + -4x) = 8x + 15 + -2x Reorder the terms: 4 + 9x + -4x = 8x + 15 + -2x Combine like terms: 9x + -4x = 5x 4 + 5x = 8x + 15 + -2x Reorder the terms: 4 + 5x = 15 + 8x + -2x Combine like terms: 8x + -2x = 6x 4 + 5x = 15 + 6x Solving 4 + 5x = 15 + 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. 4 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = 15 + 0 4 + -1x = 15 Add '-4' to each side of the equation. 4 + -4 + -1x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 15 + -4 -1x = 15 + -4 Combine like terms: 15 + -4 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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