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Simplifying 4x + 3(-2x + 9) = 11 Reorder the terms: 4x + 3(9 + -2x) = 11 4x + (9 * 3 + -2x * 3) = 11 4x + (27 + -6x) = 11 Reorder the terms: 27 + 4x + -6x = 11 Combine like terms: 4x + -6x = -2x 27 + -2x = 11 Solving 27 + -2x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 11 + -27 -2x = 11 + -27 Combine like terms: 11 + -27 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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