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Simplifying 2(4x + 3) = 6(-4x + -3) Reorder the terms: 2(3 + 4x) = 6(-4x + -3) (3 * 2 + 4x * 2) = 6(-4x + -3) (6 + 8x) = 6(-4x + -3) Reorder the terms: 6 + 8x = 6(-3 + -4x) 6 + 8x = (-3 * 6 + -4x * 6) 6 + 8x = (-18 + -24x) Solving 6 + 8x = -18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 6 + 8x + 24x = -18 + -24x + 24x Combine like terms: 8x + 24x = 32x 6 + 32x = -18 + -24x + 24x Combine like terms: -24x + 24x = 0 6 + 32x = -18 + 0 6 + 32x = -18 Add '-6' to each side of the equation. 6 + -6 + 32x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 32x = -18 + -6 32x = -18 + -6 Combine like terms: -18 + -6 = -24 32x = -24 Divide each side by '32'. x = -0.75 Simplifying x = -0.75
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