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Simplifying 7x + -21 = 2x + 3(5x + 3) Reorder the terms: -21 + 7x = 2x + 3(5x + 3) Reorder the terms: -21 + 7x = 2x + 3(3 + 5x) -21 + 7x = 2x + (3 * 3 + 5x * 3) -21 + 7x = 2x + (9 + 15x) Reorder the terms: -21 + 7x = 9 + 2x + 15x Combine like terms: 2x + 15x = 17x -21 + 7x = 9 + 17x Solving -21 + 7x = 9 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -21 + 7x + -17x = 9 + 17x + -17x Combine like terms: 7x + -17x = -10x -21 + -10x = 9 + 17x + -17x Combine like terms: 17x + -17x = 0 -21 + -10x = 9 + 0 -21 + -10x = 9 Add '21' to each side of the equation. -21 + 21 + -10x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 9 + 21 -10x = 9 + 21 Combine like terms: 9 + 21 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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