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Simplifying 8(3x + -3) = -9(x + 10) Reorder the terms: 8(-3 + 3x) = -9(x + 10) (-3 * 8 + 3x * 8) = -9(x + 10) (-24 + 24x) = -9(x + 10) Reorder the terms: -24 + 24x = -9(10 + x) -24 + 24x = (10 * -9 + x * -9) -24 + 24x = (-90 + -9x) Solving -24 + 24x = -90 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + 24x + 9x = -90 + -9x + 9x Combine like terms: 24x + 9x = 33x -24 + 33x = -90 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 33x = -90 + 0 -24 + 33x = -90 Add '24' to each side of the equation. -24 + 24 + 33x = -90 + 24 Combine like terms: -24 + 24 = 0 0 + 33x = -90 + 24 33x = -90 + 24 Combine like terms: -90 + 24 = -66 33x = -66 Divide each side by '33'. x = -2 Simplifying x = -2
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