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Simplifying 3(2x + 9) + -4x = 4x + 23 Reorder the terms: 3(9 + 2x) + -4x = 4x + 23 (9 * 3 + 2x * 3) + -4x = 4x + 23 (27 + 6x) + -4x = 4x + 23 Combine like terms: 6x + -4x = 2x 27 + 2x = 4x + 23 Reorder the terms: 27 + 2x = 23 + 4x Solving 27 + 2x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 2x + -4x = 23 + 4x + -4x Combine like terms: 2x + -4x = -2x 27 + -2x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -2x = 23 + 0 27 + -2x = 23 Add '-27' to each side of the equation. 27 + -27 + -2x = 23 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 23 + -27 -2x = 23 + -27 Combine like terms: 23 + -27 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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