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Simplifying 3(x + 7) = 8(x + 6) + -67 Reorder the terms: 3(7 + x) = 8(x + 6) + -67 (7 * 3 + x * 3) = 8(x + 6) + -67 (21 + 3x) = 8(x + 6) + -67 Reorder the terms: 21 + 3x = 8(6 + x) + -67 21 + 3x = (6 * 8 + x * 8) + -67 21 + 3x = (48 + 8x) + -67 Reorder the terms: 21 + 3x = 48 + -67 + 8x Combine like terms: 48 + -67 = -19 21 + 3x = -19 + 8x Solving 21 + 3x = -19 + 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 + 3x + -8x = -19 + 8x + -8x Combine like terms: 3x + -8x = -5x 21 + -5x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -5x = -19 + 0 21 + -5x = -19 Add '-21' to each side of the equation. 21 + -21 + -5x = -19 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -19 + -21 -5x = -19 + -21 Combine like terms: -19 + -21 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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