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Simplifying (8 + 2x) * 6 = 7x + 13 Reorder the terms for easier multiplication: 6(8 + 2x) = 7x + 13 (8 * 6 + 2x * 6) = 7x + 13 (48 + 12x) = 7x + 13 Reorder the terms: 48 + 12x = 13 + 7x Solving 48 + 12x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 12x + -7x = 13 + 7x + -7x Combine like terms: 12x + -7x = 5x 48 + 5x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + 5x = 13 + 0 48 + 5x = 13 Add '-48' to each side of the equation. 48 + -48 + 5x = 13 + -48 Combine like terms: 48 + -48 = 0 0 + 5x = 13 + -48 5x = 13 + -48 Combine like terms: 13 + -48 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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