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Simplifying -9x + 12 + 4(3x + -3) = 7(x + -2) + -4x + 14x Reorder the terms: -9x + 12 + 4(-3 + 3x) = 7(x + -2) + -4x + 14x -9x + 12 + (-3 * 4 + 3x * 4) = 7(x + -2) + -4x + 14x -9x + 12 + (-12 + 12x) = 7(x + -2) + -4x + 14x Reorder the terms: 12 + -12 + -9x + 12x = 7(x + -2) + -4x + 14x Combine like terms: 12 + -12 = 0 0 + -9x + 12x = 7(x + -2) + -4x + 14x -9x + 12x = 7(x + -2) + -4x + 14x Combine like terms: -9x + 12x = 3x 3x = 7(x + -2) + -4x + 14x Reorder the terms: 3x = 7(-2 + x) + -4x + 14x 3x = (-2 * 7 + x * 7) + -4x + 14x 3x = (-14 + 7x) + -4x + 14x Combine like terms: 7x + -4x = 3x 3x = -14 + 3x + 14x Combine like terms: 3x + 14x = 17x 3x = -14 + 17x Solving 3x = -14 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 3x + -17x = -14 + 17x + -17x Combine like terms: 3x + -17x = -14x -14x = -14 + 17x + -17x Combine like terms: 17x + -17x = 0 -14x = -14 + 0 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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