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Simplifying -6(x + -3) + -72 = x + -9(x + 4) Reorder the terms: -6(-3 + x) + -72 = x + -9(x + 4) (-3 * -6 + x * -6) + -72 = x + -9(x + 4) (18 + -6x) + -72 = x + -9(x + 4) Reorder the terms: 18 + -72 + -6x = x + -9(x + 4) Combine like terms: 18 + -72 = -54 -54 + -6x = x + -9(x + 4) Reorder the terms: -54 + -6x = x + -9(4 + x) -54 + -6x = x + (4 * -9 + x * -9) -54 + -6x = x + (-36 + -9x) Reorder the terms: -54 + -6x = -36 + x + -9x Combine like terms: x + -9x = -8x -54 + -6x = -36 + -8x Solving -54 + -6x = -36 + -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. -54 + -6x + 8x = -36 + -8x + 8x Combine like terms: -6x + 8x = 2x -54 + 2x = -36 + -8x + 8x Combine like terms: -8x + 8x = 0 -54 + 2x = -36 + 0 -54 + 2x = -36 Add '54' to each side of the equation. -54 + 54 + 2x = -36 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = -36 + 54 2x = -36 + 54 Combine like terms: -36 + 54 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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