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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 = 0 0 + 9x + 12x = 7(x + -2) + -4x + 14 9x + 12x = 7(x + -2) + -4x + 14 Combine like terms: 9x + 12x = 21x 21x = 7(x + -2) + -4x + 14 Reorder the terms: 21x = 7(-2 + x) + -4x + 14 21x = (-2 * 7 + x * 7) + -4x + 14 21x = (-14 + 7x) + -4x + 14 Reorder the terms: 21x = -14 + 14 + 7x + -4x Combine like terms: -14 + 14 = 0 21x = 0 + 7x + -4x 21x = 7x + -4x Combine like terms: 7x + -4x = 3x 21x = 3x Solving 21x = 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. 21x + -3x = 3x + -3x Combine like terms: 21x + -3x = 18x 18x = 3x + -3x Combine like terms: 3x + -3x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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