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Simplifying -5(3x + -2) + 6(2 + -3x) = 3x Reorder the terms: -5(-2 + 3x) + 6(2 + -3x) = 3x (-2 * -5 + 3x * -5) + 6(2 + -3x) = 3x (10 + -15x) + 6(2 + -3x) = 3x 10 + -15x + (2 * 6 + -3x * 6) = 3x 10 + -15x + (12 + -18x) = 3x Reorder the terms: 10 + 12 + -15x + -18x = 3x Combine like terms: 10 + 12 = 22 22 + -15x + -18x = 3x Combine like terms: -15x + -18x = -33x 22 + -33x = 3x Solving 22 + -33x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + -33x + -3x = 3x + -3x Combine like terms: -33x + -3x = -36x 22 + -36x = 3x + -3x Combine like terms: 3x + -3x = 0 22 + -36x = 0 Add '-22' to each side of the equation. 22 + -22 + -36x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -36x = 0 + -22 -36x = 0 + -22 Combine like terms: 0 + -22 = -22 -36x = -22 Divide each side by '-36'. x = 0.6111111111 Simplifying x = 0.6111111111
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