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Simplifying 5x + 14 + -2x = 9 + 2(2x + 1) Reorder the terms: 14 + 5x + -2x = 9 + 2(2x + 1) Combine like terms: 5x + -2x = 3x 14 + 3x = 9 + 2(2x + 1) Reorder the terms: 14 + 3x = 9 + 2(1 + 2x) 14 + 3x = 9 + (1 * 2 + 2x * 2) 14 + 3x = 9 + (2 + 4x) Combine like terms: 9 + 2 = 11 14 + 3x = 11 + 4x Solving 14 + 3x = 11 + 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. 14 + 3x + -4x = 11 + 4x + -4x Combine like terms: 3x + -4x = -1x 14 + -1x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -1x = 11 + 0 14 + -1x = 11 Add '-14' to each side of the equation. 14 + -14 + -1x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 11 + -14 -1x = 11 + -14 Combine like terms: 11 + -14 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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