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Simplifying 3(3x + -8) + -3 = 3(x + -2) + 4 Reorder the terms: 3(-8 + 3x) + -3 = 3(x + -2) + 4 (-8 * 3 + 3x * 3) + -3 = 3(x + -2) + 4 (-24 + 9x) + -3 = 3(x + -2) + 4 Reorder the terms: -24 + -3 + 9x = 3(x + -2) + 4 Combine like terms: -24 + -3 = -27 -27 + 9x = 3(x + -2) + 4 Reorder the terms: -27 + 9x = 3(-2 + x) + 4 -27 + 9x = (-2 * 3 + x * 3) + 4 -27 + 9x = (-6 + 3x) + 4 Reorder the terms: -27 + 9x = -6 + 4 + 3x Combine like terms: -6 + 4 = -2 -27 + 9x = -2 + 3x Solving -27 + 9x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 9x + -3x = -2 + 3x + -3x Combine like terms: 9x + -3x = 6x -27 + 6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 6x = -2 + 0 -27 + 6x = -2 Add '27' to each side of the equation. -27 + 27 + 6x = -2 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = -2 + 27 6x = -2 + 27 Combine like terms: -2 + 27 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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