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Simplifying 9x + -4(x + -2) = 8x + 15 + -2x Reorder the terms: 9x + -4(-2 + x) = 8x + 15 + -2x 9x + (-2 * -4 + x * -4) = 8x + 15 + -2x 9x + (8 + -4x) = 8x + 15 + -2x Reorder the terms: 8 + 9x + -4x = 8x + 15 + -2x Combine like terms: 9x + -4x = 5x 8 + 5x = 8x + 15 + -2x Reorder the terms: 8 + 5x = 15 + 8x + -2x Combine like terms: 8x + -2x = 6x 8 + 5x = 15 + 6x Solving 8 + 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. 8 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x 8 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -1x = 15 + 0 8 + -1x = 15 Add '-8' to each side of the equation. 8 + -8 + -1x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 15 + -8 -1x = 15 + -8 Combine like terms: 15 + -8 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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