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Simplifying -5x + 7(x + -3) = 8x + -9 Reorder the terms: -5x + 7(-3 + x) = 8x + -9 -5x + (-3 * 7 + x * 7) = 8x + -9 -5x + (-21 + 7x) = 8x + -9 Reorder the terms: -21 + -5x + 7x = 8x + -9 Combine like terms: -5x + 7x = 2x -21 + 2x = 8x + -9 Reorder the terms: -21 + 2x = -9 + 8x Solving -21 + 2x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 2x + -8x = -9 + 8x + -8x Combine like terms: 2x + -8x = -6x -21 + -6x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -6x = -9 + 0 -21 + -6x = -9 Add '21' to each side of the equation. -21 + 21 + -6x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = -9 + 21 -6x = -9 + 21 Combine like terms: -9 + 21 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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