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Simplifying 3(2x + 7) = 8x + 13 Reorder the terms: 3(7 + 2x) = 8x + 13 (7 * 3 + 2x * 3) = 8x + 13 (21 + 6x) = 8x + 13 Reorder the terms: 21 + 6x = 13 + 8x Solving 21 + 6x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 6x + -8x = 13 + 8x + -8x Combine like terms: 6x + -8x = -2x 21 + -2x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -2x = 13 + 0 21 + -2x = 13 Add '-21' to each side of the equation. 21 + -21 + -2x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 13 + -21 -2x = 13 + -21 Combine like terms: 13 + -21 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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