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Simplifying 3(2X + -9) + -3 = 3(X + -2) + -9 Reorder the terms: 3(-9 + 2X) + -3 = 3(X + -2) + -9 (-9 * 3 + 2X * 3) + -3 = 3(X + -2) + -9 (-27 + 6X) + -3 = 3(X + -2) + -9 Reorder the terms: -27 + -3 + 6X = 3(X + -2) + -9 Combine like terms: -27 + -3 = -30 -30 + 6X = 3(X + -2) + -9 Reorder the terms: -30 + 6X = 3(-2 + X) + -9 -30 + 6X = (-2 * 3 + X * 3) + -9 -30 + 6X = (-6 + 3X) + -9 Reorder the terms: -30 + 6X = -6 + -9 + 3X Combine like terms: -6 + -9 = -15 -30 + 6X = -15 + 3X Solving -30 + 6X = -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. -30 + 6X + -3X = -15 + 3X + -3X Combine like terms: 6X + -3X = 3X -30 + 3X = -15 + 3X + -3X Combine like terms: 3X + -3X = 0 -30 + 3X = -15 + 0 -30 + 3X = -15 Add '30' to each side of the equation. -30 + 30 + 3X = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 3X = -15 + 30 3X = -15 + 30 Combine like terms: -15 + 30 = 15 3X = 15 Divide each side by '3'. X = 5 Simplifying X = 5
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