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Simplifying 6(3x + 5) = 5(x + -4) + 18 Reorder the terms: 6(5 + 3x) = 5(x + -4) + 18 (5 * 6 + 3x * 6) = 5(x + -4) + 18 (30 + 18x) = 5(x + -4) + 18 Reorder the terms: 30 + 18x = 5(-4 + x) + 18 30 + 18x = (-4 * 5 + x * 5) + 18 30 + 18x = (-20 + 5x) + 18 Reorder the terms: 30 + 18x = -20 + 18 + 5x Combine like terms: -20 + 18 = -2 30 + 18x = -2 + 5x Solving 30 + 18x = -2 + 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. 30 + 18x + -5x = -2 + 5x + -5x Combine like terms: 18x + -5x = 13x 30 + 13x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 13x = -2 + 0 30 + 13x = -2 Add '-30' to each side of the equation. 30 + -30 + 13x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = -2 + -30 13x = -2 + -30 Combine like terms: -2 + -30 = -32 13x = -32 Divide each side by '13'. x = -2.461538462 Simplifying x = -2.461538462
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