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