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Simplifying 9(x + -4) = 6x + -21 Reorder the terms: 9(-4 + x) = 6x + -21 (-4 * 9 + x * 9) = 6x + -21 (-36 + 9x) = 6x + -21 Reorder the terms: -36 + 9x = -21 + 6x Solving -36 + 9x = -21 + 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. -36 + 9x + -6x = -21 + 6x + -6x Combine like terms: 9x + -6x = 3x -36 + 3x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 3x = -21 + 0 -36 + 3x = -21 Add '36' to each side of the equation. -36 + 36 + 3x = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = -21 + 36 3x = -21 + 36 Combine like terms: -21 + 36 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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