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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 = -21x 24 + -21x = 7(x + -2) + -4x + 14 Reorder the terms: 24 + -21x = 7(-2 + x) + -4x + 14 24 + -21x = (-2 * 7 + x * 7) + -4x + 14 24 + -21x = (-14 + 7x) + -4x + 14 Reorder the terms: 24 + -21x = -14 + 14 + 7x + -4x Combine like terms: -14 + 14 = 0 24 + -21x = 0 + 7x + -4x 24 + -21x = 7x + -4x Combine like terms: 7x + -4x = 3x 24 + -21x = 3x Solving 24 + -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. 24 + -21x + -3x = 3x + -3x Combine like terms: -21x + -3x = -24x 24 + -24x = 3x + -3x Combine like terms: 3x + -3x = 0 24 + -24x = 0 Add '-24' to each side of the equation. 24 + -24 + -24x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = 0 + -24 -24x = 0 + -24 Combine like terms: 0 + -24 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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