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