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Simplifying 2x + 9 = 4(x + 6) Reorder the terms: 9 + 2x = 4(x + 6) Reorder the terms: 9 + 2x = 4(6 + x) 9 + 2x = (6 * 4 + x * 4) 9 + 2x = (24 + 4x) Solving 9 + 2x = 24 + 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. 9 + 2x + -4x = 24 + 4x + -4x Combine like terms: 2x + -4x = -2x 9 + -2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -2x = 24 + 0 9 + -2x = 24 Add '-9' to each side of the equation. 9 + -9 + -2x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 24 + -9 -2x = 24 + -9 Combine like terms: 24 + -9 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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