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Simplifying 3(2x + 2) = -3(8 + 8x) Reorder the terms: 3(2 + 2x) = -3(8 + 8x) (2 * 3 + 2x * 3) = -3(8 + 8x) (6 + 6x) = -3(8 + 8x) 6 + 6x = (8 * -3 + 8x * -3) 6 + 6x = (-24 + -24x) Solving 6 + 6x = -24 + -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 + 6x + 24x = -24 + -24x + 24x Combine like terms: 6x + 24x = 30x 6 + 30x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 6 + 30x = -24 + 0 6 + 30x = -24 Add '-6' to each side of the equation. 6 + -6 + 30x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 30x = -24 + -6 30x = -24 + -6 Combine like terms: -24 + -6 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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