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Simplifying 5x + 4(3x + -3) = 8x + -39 Reorder the terms: 5x + 4(-3 + 3x) = 8x + -39 5x + (-3 * 4 + 3x * 4) = 8x + -39 5x + (-12 + 12x) = 8x + -39 Reorder the terms: -12 + 5x + 12x = 8x + -39 Combine like terms: 5x + 12x = 17x -12 + 17x = 8x + -39 Reorder the terms: -12 + 17x = -39 + 8x Solving -12 + 17x = -39 + 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. -12 + 17x + -8x = -39 + 8x + -8x Combine like terms: 17x + -8x = 9x -12 + 9x = -39 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 9x = -39 + 0 -12 + 9x = -39 Add '12' to each side of the equation. -12 + 12 + 9x = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -39 + 12 9x = -39 + 12 Combine like terms: -39 + 12 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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