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Simplifying 6(4x + 3) = -2(4x + 7) Reorder the terms: 6(3 + 4x) = -2(4x + 7) (3 * 6 + 4x * 6) = -2(4x + 7) (18 + 24x) = -2(4x + 7) Reorder the terms: 18 + 24x = -2(7 + 4x) 18 + 24x = (7 * -2 + 4x * -2) 18 + 24x = (-14 + -8x) Solving 18 + 24x = -14 + -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. 18 + 24x + 8x = -14 + -8x + 8x Combine like terms: 24x + 8x = 32x 18 + 32x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 32x = -14 + 0 18 + 32x = -14 Add '-18' to each side of the equation. 18 + -18 + 32x = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 32x = -14 + -18 32x = -14 + -18 Combine like terms: -14 + -18 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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