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Simplifying 5x * 4 + 3 = 7(3x + 2) Reorder the terms for easier multiplication: 5 * 4x + 3 = 7(3x + 2) Multiply 5 * 4 20x + 3 = 7(3x + 2) Reorder the terms: 3 + 20x = 7(3x + 2) Reorder the terms: 3 + 20x = 7(2 + 3x) 3 + 20x = (2 * 7 + 3x * 7) 3 + 20x = (14 + 21x) Solving 3 + 20x = 14 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 3 + 20x + -21x = 14 + 21x + -21x Combine like terms: 20x + -21x = -1x 3 + -1x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 3 + -1x = 14 + 0 3 + -1x = 14 Add '-3' to each side of the equation. 3 + -3 + -1x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 14 + -3 -1x = 14 + -3 Combine like terms: 14 + -3 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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