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Simplifying -9 + 12 + 4(3x + -3) = 7(x + -2) + -4x + 14 Reorder the terms: -9 + 12 + 4(-3 + 3x) = 7(x + -2) + -4x + 14 -9 + 12 + (-3 * 4 + 3x * 4) = 7(x + -2) + -4x + 14 -9 + 12 + (-12 + 12x) = 7(x + -2) + -4x + 14 Combine like terms: -9 + 12 = 3 3 + -12 + 12x = 7(x + -2) + -4x + 14 Combine like terms: 3 + -12 = -9 -9 + 12x = 7(x + -2) + -4x + 14 Reorder the terms: -9 + 12x = 7(-2 + x) + -4x + 14 -9 + 12x = (-2 * 7 + x * 7) + -4x + 14 -9 + 12x = (-14 + 7x) + -4x + 14 Reorder the terms: -9 + 12x = -14 + 14 + 7x + -4x Combine like terms: -14 + 14 = 0 -9 + 12x = 0 + 7x + -4x -9 + 12x = 7x + -4x Combine like terms: 7x + -4x = 3x -9 + 12x = 3x Solving -9 + 12x = 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. -9 + 12x + -3x = 3x + -3x Combine like terms: 12x + -3x = 9x -9 + 9x = 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 9x = 0 Add '9' to each side of the equation. -9 + 9 + 9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 0 + 9 9x = 0 + 9 Combine like terms: 0 + 9 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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