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Simplifying 6(3x + -9) + -3 = 6(x + -3) + 21 Reorder the terms: 6(-9 + 3x) + -3 = 6(x + -3) + 21 (-9 * 6 + 3x * 6) + -3 = 6(x + -3) + 21 (-54 + 18x) + -3 = 6(x + -3) + 21 Reorder the terms: -54 + -3 + 18x = 6(x + -3) + 21 Combine like terms: -54 + -3 = -57 -57 + 18x = 6(x + -3) + 21 Reorder the terms: -57 + 18x = 6(-3 + x) + 21 -57 + 18x = (-3 * 6 + x * 6) + 21 -57 + 18x = (-18 + 6x) + 21 Reorder the terms: -57 + 18x = -18 + 21 + 6x Combine like terms: -18 + 21 = 3 -57 + 18x = 3 + 6x Solving -57 + 18x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -57 + 18x + -6x = 3 + 6x + -6x Combine like terms: 18x + -6x = 12x -57 + 12x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -57 + 12x = 3 + 0 -57 + 12x = 3 Add '57' to each side of the equation. -57 + 57 + 12x = 3 + 57 Combine like terms: -57 + 57 = 0 0 + 12x = 3 + 57 12x = 3 + 57 Combine like terms: 3 + 57 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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