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Simplifying 5x + -14 = 2(2x + 3) + -3x Reorder the terms: -14 + 5x = 2(2x + 3) + -3x Reorder the terms: -14 + 5x = 2(3 + 2x) + -3x -14 + 5x = (3 * 2 + 2x * 2) + -3x -14 + 5x = (6 + 4x) + -3x Combine like terms: 4x + -3x = 1x -14 + 5x = 6 + 1x Solving -14 + 5x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 5x + -1x = 6 + 1x + -1x Combine like terms: 5x + -1x = 4x -14 + 4x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 4x = 6 + 0 -14 + 4x = 6 Add '14' to each side of the equation. -14 + 14 + 4x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 6 + 14 4x = 6 + 14 Combine like terms: 6 + 14 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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