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Simplifying 3(3x + -6) + -3 = 3(x + -5) + 30 Reorder the terms: 3(-6 + 3x) + -3 = 3(x + -5) + 30 (-6 * 3 + 3x * 3) + -3 = 3(x + -5) + 30 (-18 + 9x) + -3 = 3(x + -5) + 30 Reorder the terms: -18 + -3 + 9x = 3(x + -5) + 30 Combine like terms: -18 + -3 = -21 -21 + 9x = 3(x + -5) + 30 Reorder the terms: -21 + 9x = 3(-5 + x) + 30 -21 + 9x = (-5 * 3 + x * 3) + 30 -21 + 9x = (-15 + 3x) + 30 Reorder the terms: -21 + 9x = -15 + 30 + 3x Combine like terms: -15 + 30 = 15 -21 + 9x = 15 + 3x Solving -21 + 9x = 15 + 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. -21 + 9x + -3x = 15 + 3x + -3x Combine like terms: 9x + -3x = 6x -21 + 6x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 6x = 15 + 0 -21 + 6x = 15 Add '21' to each side of the equation. -21 + 21 + 6x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 15 + 21 6x = 15 + 21 Combine like terms: 15 + 21 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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