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Simplifying 8(x + 6) = 3(7x + 3) Reorder the terms: 8(6 + x) = 3(7x + 3) (6 * 8 + x * 8) = 3(7x + 3) (48 + 8x) = 3(7x + 3) Reorder the terms: 48 + 8x = 3(3 + 7x) 48 + 8x = (3 * 3 + 7x * 3) 48 + 8x = (9 + 21x) Solving 48 + 8x = 9 + 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. 48 + 8x + -21x = 9 + 21x + -21x Combine like terms: 8x + -21x = -13x 48 + -13x = 9 + 21x + -21x Combine like terms: 21x + -21x = 0 48 + -13x = 9 + 0 48 + -13x = 9 Add '-48' to each side of the equation. 48 + -48 + -13x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + -13x = 9 + -48 -13x = 9 + -48 Combine like terms: 9 + -48 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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