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Simplifying 3(2 + 4x) + -4(2x + -7) + -12 = -2(2x + 4) + -3x (2 * 3 + 4x * 3) + -4(2x + -7) + -12 = -2(2x + 4) + -3x (6 + 12x) + -4(2x + -7) + -12 = -2(2x + 4) + -3x Reorder the terms: 6 + 12x + -4(-7 + 2x) + -12 = -2(2x + 4) + -3x 6 + 12x + (-7 * -4 + 2x * -4) + -12 = -2(2x + 4) + -3x 6 + 12x + (28 + -8x) + -12 = -2(2x + 4) + -3x Reorder the terms: 6 + 28 + -12 + 12x + -8x = -2(2x + 4) + -3x Combine like terms: 6 + 28 = 34 34 + -12 + 12x + -8x = -2(2x + 4) + -3x Combine like terms: 34 + -12 = 22 22 + 12x + -8x = -2(2x + 4) + -3x Combine like terms: 12x + -8x = 4x 22 + 4x = -2(2x + 4) + -3x Reorder the terms: 22 + 4x = -2(4 + 2x) + -3x 22 + 4x = (4 * -2 + 2x * -2) + -3x 22 + 4x = (-8 + -4x) + -3x Combine like terms: -4x + -3x = -7x 22 + 4x = -8 + -7x Solving 22 + 4x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 22 + 4x + 7x = -8 + -7x + 7x Combine like terms: 4x + 7x = 11x 22 + 11x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 22 + 11x = -8 + 0 22 + 11x = -8 Add '-22' to each side of the equation. 22 + -22 + 11x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 11x = -8 + -22 11x = -8 + -22 Combine like terms: -8 + -22 = -30 11x = -30 Divide each side by '11'. x = -2.727272727 Simplifying x = -2.727272727
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