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Simplifying 3(2x + -6) + -3 = 3(x + -3) + -3 Reorder the terms: 3(-6 + 2x) + -3 = 3(x + -3) + -3 (-6 * 3 + 2x * 3) + -3 = 3(x + -3) + -3 (-18 + 6x) + -3 = 3(x + -3) + -3 Reorder the terms: -18 + -3 + 6x = 3(x + -3) + -3 Combine like terms: -18 + -3 = -21 -21 + 6x = 3(x + -3) + -3 Reorder the terms: -21 + 6x = 3(-3 + x) + -3 -21 + 6x = (-3 * 3 + x * 3) + -3 -21 + 6x = (-9 + 3x) + -3 Reorder the terms: -21 + 6x = -9 + -3 + 3x Combine like terms: -9 + -3 = -12 -21 + 6x = -12 + 3x Solving -21 + 6x = -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. -21 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -21 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 3x = -12 + 0 -21 + 3x = -12 Add '21' to each side of the equation. -21 + 21 + 3x = -12 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -12 + 21 3x = -12 + 21 Combine like terms: -12 + 21 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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