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Simplifying 3(2x + 9) + -2(x + 4) = 0 Reorder the terms: 3(9 + 2x) + -2(x + 4) = 0 (9 * 3 + 2x * 3) + -2(x + 4) = 0 (27 + 6x) + -2(x + 4) = 0 Reorder the terms: 27 + 6x + -2(4 + x) = 0 27 + 6x + (4 * -2 + x * -2) = 0 27 + 6x + (-8 + -2x) = 0 Reorder the terms: 27 + -8 + 6x + -2x = 0 Combine like terms: 27 + -8 = 19 19 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 19 + 4x = 0 Solving 19 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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