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Simplifying 2 + 3(2x + 3) = 6x + 4(2x + 1) Reorder the terms: 2 + 3(3 + 2x) = 6x + 4(2x + 1) 2 + (3 * 3 + 2x * 3) = 6x + 4(2x + 1) 2 + (9 + 6x) = 6x + 4(2x + 1) Combine like terms: 2 + 9 = 11 11 + 6x = 6x + 4(2x + 1) Reorder the terms: 11 + 6x = 6x + 4(1 + 2x) 11 + 6x = 6x + (1 * 4 + 2x * 4) 11 + 6x = 6x + (4 + 8x) Reorder the terms: 11 + 6x = 4 + 6x + 8x Combine like terms: 6x + 8x = 14x 11 + 6x = 4 + 14x Solving 11 + 6x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11 + 6x + -14x = 4 + 14x + -14x Combine like terms: 6x + -14x = -8x 11 + -8x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + -8x = 4 + 0 11 + -8x = 4 Add '-11' to each side of the equation. 11 + -11 + -8x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 4 + -11 -8x = 4 + -11 Combine like terms: 4 + -11 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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