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Simplifying 5(x + 3) = 3(7x + 3) + -2 Reorder the terms: 5(3 + x) = 3(7x + 3) + -2 (3 * 5 + x * 5) = 3(7x + 3) + -2 (15 + 5x) = 3(7x + 3) + -2 Reorder the terms: 15 + 5x = 3(3 + 7x) + -2 15 + 5x = (3 * 3 + 7x * 3) + -2 15 + 5x = (9 + 21x) + -2 Reorder the terms: 15 + 5x = 9 + -2 + 21x Combine like terms: 9 + -2 = 7 15 + 5x = 7 + 21x Solving 15 + 5x = 7 + 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. 15 + 5x + -21x = 7 + 21x + -21x Combine like terms: 5x + -21x = -16x 15 + -16x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 15 + -16x = 7 + 0 15 + -16x = 7 Add '-15' to each side of the equation. 15 + -15 + -16x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -16x = 7 + -15 -16x = 7 + -15 Combine like terms: 7 + -15 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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