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Simplifying 6(8 + -2x) + 1 = 5(2 + -3x) (8 * 6 + -2x * 6) + 1 = 5(2 + -3x) (48 + -12x) + 1 = 5(2 + -3x) Reorder the terms: 48 + 1 + -12x = 5(2 + -3x) Combine like terms: 48 + 1 = 49 49 + -12x = 5(2 + -3x) 49 + -12x = (2 * 5 + -3x * 5) 49 + -12x = (10 + -15x) Solving 49 + -12x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 49 + -12x + 15x = 10 + -15x + 15x Combine like terms: -12x + 15x = 3x 49 + 3x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 49 + 3x = 10 + 0 49 + 3x = 10 Add '-49' to each side of the equation. 49 + -49 + 3x = 10 + -49 Combine like terms: 49 + -49 = 0 0 + 3x = 10 + -49 3x = 10 + -49 Combine like terms: 10 + -49 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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