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Simplifying 4(2x + 3) = 9(3 + -5) Reorder the terms: 4(3 + 2x) = 9(3 + -5) (3 * 4 + 2x * 4) = 9(3 + -5) (12 + 8x) = 9(3 + -5) Combine like terms: 3 + -5 = -2 12 + 8x = 9(-2) Multiply 9 * -2 12 + 8x = -18 Solving 12 + 8x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -18 + -12 8x = -18 + -12 Combine like terms: -18 + -12 = -30 8x = -30 Divide each side by '8'. x = -3.75 Simplifying x = -3.75
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