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Simplifying (4x + -3) * 2 = 3x + 14 Reorder the terms: (-3 + 4x) * 2 = 3x + 14 Reorder the terms for easier multiplication: 2(-3 + 4x) = 3x + 14 (-3 * 2 + 4x * 2) = 3x + 14 (-6 + 8x) = 3x + 14 Reorder the terms: -6 + 8x = 14 + 3x Solving -6 + 8x = 14 + 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. -6 + 8x + -3x = 14 + 3x + -3x Combine like terms: 8x + -3x = 5x -6 + 5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 5x = 14 + 0 -6 + 5x = 14 Add '6' to each side of the equation. -6 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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