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Simplifying 4(2x + 3) = 3 + -8x + 9 Reorder the terms: 4(3 + 2x) = 3 + -8x + 9 (3 * 4 + 2x * 4) = 3 + -8x + 9 (12 + 8x) = 3 + -8x + 9 Reorder the terms: 12 + 8x = 3 + 9 + -8x Combine like terms: 3 + 9 = 12 12 + 8x = 12 + -8x Add '-12' to each side of the equation. 12 + -12 + 8x = 12 + -12 + -8x Combine like terms: 12 + -12 = 0 0 + 8x = 12 + -12 + -8x 8x = 12 + -12 + -8x Combine like terms: 12 + -12 = 0 8x = 0 + -8x 8x = -8x Solving 8x = -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. 8x + 8x = -8x + 8x Combine like terms: 8x + 8x = 16x 16x = -8x + 8x Combine like terms: -8x + 8x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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