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Simplifying 6(3x + 6) = -3x + -5(1 + 4x) Reorder the terms: 6(6 + 3x) = -3x + -5(1 + 4x) (6 * 6 + 3x * 6) = -3x + -5(1 + 4x) (36 + 18x) = -3x + -5(1 + 4x) 36 + 18x = -3x + (1 * -5 + 4x * -5) 36 + 18x = -3x + (-5 + -20x) Reorder the terms: 36 + 18x = -5 + -3x + -20x Combine like terms: -3x + -20x = -23x 36 + 18x = -5 + -23x Solving 36 + 18x = -5 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 36 + 18x + 23x = -5 + -23x + 23x Combine like terms: 18x + 23x = 41x 36 + 41x = -5 + -23x + 23x Combine like terms: -23x + 23x = 0 36 + 41x = -5 + 0 36 + 41x = -5 Add '-36' to each side of the equation. 36 + -36 + 41x = -5 + -36 Combine like terms: 36 + -36 = 0 0 + 41x = -5 + -36 41x = -5 + -36 Combine like terms: -5 + -36 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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