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Simplifying 5(3x + 2) = -6x Reorder the terms: 5(2 + 3x) = -6x (2 * 5 + 3x * 5) = -6x (10 + 15x) = -6x Solving 10 + 15x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 15x + 6x = -6x + 6x Combine like terms: 15x + 6x = 21x 10 + 21x = -6x + 6x Combine like terms: -6x + 6x = 0 10 + 21x = 0 Add '-10' to each side of the equation. 10 + -10 + 21x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 21x = 0 + -10 21x = 0 + -10 Combine like terms: 0 + -10 = -10 21x = -10 Divide each side by '21'. x = -0.4761904762 Simplifying x = -0.4761904762
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