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Simplifying 3(3x + -9) + -3 = 3(x + -5) + 3 Reorder the terms: 3(-9 + 3x) + -3 = 3(x + -5) + 3 (-9 * 3 + 3x * 3) + -3 = 3(x + -5) + 3 (-27 + 9x) + -3 = 3(x + -5) + 3 Reorder the terms: -27 + -3 + 9x = 3(x + -5) + 3 Combine like terms: -27 + -3 = -30 -30 + 9x = 3(x + -5) + 3 Reorder the terms: -30 + 9x = 3(-5 + x) + 3 -30 + 9x = (-5 * 3 + x * 3) + 3 -30 + 9x = (-15 + 3x) + 3 Reorder the terms: -30 + 9x = -15 + 3 + 3x Combine like terms: -15 + 3 = -12 -30 + 9x = -12 + 3x Solving -30 + 9x = -12 + 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. -30 + 9x + -3x = -12 + 3x + -3x Combine like terms: 9x + -3x = 6x -30 + 6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 6x = -12 + 0 -30 + 6x = -12 Add '30' to each side of the equation. -30 + 30 + 6x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = -12 + 30 6x = -12 + 30 Combine like terms: -12 + 30 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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