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Simplifying -9x + 12 + 4(3x + 3) = 7(X + -2) + -4x + 14 Reorder the terms: -9x + 12 + 4(3 + 3x) = 7(X + -2) + -4x + 14 -9x + 12 + (3 * 4 + 3x * 4) = 7(X + -2) + -4x + 14 -9x + 12 + (12 + 12x) = 7(X + -2) + -4x + 14 Reorder the terms: 12 + 12 + -9x + 12x = 7(X + -2) + -4x + 14 Combine like terms: 12 + 12 = 24 24 + -9x + 12x = 7(X + -2) + -4x + 14 Combine like terms: -9x + 12x = 3x 24 + 3x = 7(X + -2) + -4x + 14 Reorder the terms: 24 + 3x = 7(-2 + X) + -4x + 14 24 + 3x = (-2 * 7 + X * 7) + -4x + 14 24 + 3x = (-14 + 7X) + -4x + 14 Reorder the terms: 24 + 3x = -14 + 14 + 7X + -4x Combine like terms: -14 + 14 = 0 24 + 3x = 0 + 7X + -4x 24 + 3x = 7X + -4x Solving 24 + 3x = 7X + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 3x + 4x = 7X + -4x + 4x Combine like terms: 3x + 4x = 7x 24 + 7x = 7X + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 7x = 7X + 0 24 + 7x = 7X Add '-24' to each side of the equation. 24 + -24 + 7x = -24 + 7X Combine like terms: 24 + -24 = 0 0 + 7x = -24 + 7X 7x = -24 + 7X Divide each side by '7'. x = -3.428571429 + X Simplifying x = -3.428571429 + X
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