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Simplifying 2(2x + 7) + -3 = 3(x + 2) Reorder the terms: 2(7 + 2x) + -3 = 3(x + 2) (7 * 2 + 2x * 2) + -3 = 3(x + 2) (14 + 4x) + -3 = 3(x + 2) Reorder the terms: 14 + -3 + 4x = 3(x + 2) Combine like terms: 14 + -3 = 11 11 + 4x = 3(x + 2) Reorder the terms: 11 + 4x = 3(2 + x) 11 + 4x = (2 * 3 + x * 3) 11 + 4x = (6 + 3x) Solving 11 + 4x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 11 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 1x = 6 + 0 11 + 1x = 6 Add '-11' to each side of the equation. 11 + -11 + 1x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 6 + -11 1x = 6 + -11 Combine like terms: 6 + -11 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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