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