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Simplifying 6x + 9 = 4(2x + 1) Reorder the terms: 9 + 6x = 4(2x + 1) Reorder the terms: 9 + 6x = 4(1 + 2x) 9 + 6x = (1 * 4 + 2x * 4) 9 + 6x = (4 + 8x) Solving 9 + 6x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 6x + -8x = 4 + 8x + -8x Combine like terms: 6x + -8x = -2x 9 + -2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -2x = 4 + 0 9 + -2x = 4 Add '-9' to each side of the equation. 9 + -9 + -2x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 4 + -9 -2x = 4 + -9 Combine like terms: 4 + -9 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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