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Simplifying -109 = 3 + 8(3x + 1) Reorder the terms: -109 = 3 + 8(1 + 3x) -109 = 3 + (1 * 8 + 3x * 8) -109 = 3 + (8 + 24x) Combine like terms: 3 + 8 = 11 -109 = 11 + 24x Solving -109 = 11 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -109 + -24x = 11 + 24x + -24x Combine like terms: 24x + -24x = 0 -109 + -24x = 11 + 0 -109 + -24x = 11 Add '109' to each side of the equation. -109 + 109 + -24x = 11 + 109 Combine like terms: -109 + 109 = 0 0 + -24x = 11 + 109 -24x = 11 + 109 Combine like terms: 11 + 109 = 120 -24x = 120 Divide each side by '-24'. x = -5 Simplifying x = -5
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