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Simplifying 3x + -5 + 21x = 7(3x + 5) * 21 Reorder the terms: -5 + 3x + 21x = 7(3x + 5) * 21 Combine like terms: 3x + 21x = 24x -5 + 24x = 7(3x + 5) * 21 Reorder the terms: -5 + 24x = 7(5 + 3x) * 21 Reorder the terms for easier multiplication: -5 + 24x = 7 * 21(5 + 3x) Multiply 7 * 21 -5 + 24x = 147(5 + 3x) -5 + 24x = (5 * 147 + 3x * 147) -5 + 24x = (735 + 441x) Solving -5 + 24x = 735 + 441x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-441x' to each side of the equation. -5 + 24x + -441x = 735 + 441x + -441x Combine like terms: 24x + -441x = -417x -5 + -417x = 735 + 441x + -441x Combine like terms: 441x + -441x = 0 -5 + -417x = 735 + 0 -5 + -417x = 735 Add '5' to each side of the equation. -5 + 5 + -417x = 735 + 5 Combine like terms: -5 + 5 = 0 0 + -417x = 735 + 5 -417x = 735 + 5 Combine like terms: 735 + 5 = 740 -417x = 740 Divide each side by '-417'. x = -1.774580336 Simplifying x = -1.774580336
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