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Simplifying 6(5x + 3) = 2(3x + -2) Reorder the terms: 6(3 + 5x) = 2(3x + -2) (3 * 6 + 5x * 6) = 2(3x + -2) (18 + 30x) = 2(3x + -2) Reorder the terms: 18 + 30x = 2(-2 + 3x) 18 + 30x = (-2 * 2 + 3x * 2) 18 + 30x = (-4 + 6x) Solving 18 + 30x = -4 + 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. 18 + 30x + -6x = -4 + 6x + -6x Combine like terms: 30x + -6x = 24x 18 + 24x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 24x = -4 + 0 18 + 24x = -4 Add '-18' to each side of the equation. 18 + -18 + 24x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 24x = -4 + -18 24x = -4 + -18 Combine like terms: -4 + -18 = -22 24x = -22 Divide each side by '24'. x = -0.9166666667 Simplifying x = -0.9166666667
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