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Simplifying 3(3x + -8) + -3 = 3(x + -5) + 24 Reorder the terms: 3(-8 + 3x) + -3 = 3(x + -5) + 24 (-8 * 3 + 3x * 3) + -3 = 3(x + -5) + 24 (-24 + 9x) + -3 = 3(x + -5) + 24 Reorder the terms: -24 + -3 + 9x = 3(x + -5) + 24 Combine like terms: -24 + -3 = -27 -27 + 9x = 3(x + -5) + 24 Reorder the terms: -27 + 9x = 3(-5 + x) + 24 -27 + 9x = (-5 * 3 + x * 3) + 24 -27 + 9x = (-15 + 3x) + 24 Reorder the terms: -27 + 9x = -15 + 24 + 3x Combine like terms: -15 + 24 = 9 -27 + 9x = 9 + 3x Solving -27 + 9x = 9 + 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 = 9 + 3x + -3x Combine like terms: 9x + -3x = 6x -27 + 6x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 6x = 9 + 0 -27 + 6x = 9 Add '27' to each side of the equation. -27 + 27 + 6x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 9 + 27 6x = 9 + 27 Combine like terms: 9 + 27 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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