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Simplifying 3x(3x + -8) + -8 = 9x(x + -3) + 4 Reorder the terms: 3x(-8 + 3x) + -8 = 9x(x + -3) + 4 (-8 * 3x + 3x * 3x) + -8 = 9x(x + -3) + 4 (-24x + 9x2) + -8 = 9x(x + -3) + 4 Reorder the terms: -8 + -24x + 9x2 = 9x(x + -3) + 4 Reorder the terms: -8 + -24x + 9x2 = 9x(-3 + x) + 4 -8 + -24x + 9x2 = (-3 * 9x + x * 9x) + 4 -8 + -24x + 9x2 = (-27x + 9x2) + 4 Reorder the terms: -8 + -24x + 9x2 = 4 + -27x + 9x2 Add '-9x2' to each side of the equation. -8 + -24x + 9x2 + -9x2 = 4 + -27x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -8 + -24x + 0 = 4 + -27x + 9x2 + -9x2 -8 + -24x = 4 + -27x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -8 + -24x = 4 + -27x + 0 -8 + -24x = 4 + -27x Solving -8 + -24x = 4 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -8 + -24x + 27x = 4 + -27x + 27x Combine like terms: -24x + 27x = 3x -8 + 3x = 4 + -27x + 27x Combine like terms: -27x + 27x = 0 -8 + 3x = 4 + 0 -8 + 3x = 4 Add '8' to each side of the equation. -8 + 8 + 3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 4 + 8 3x = 4 + 8 Combine like terms: 4 + 8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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