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Simplifying 3(6x + 5) + -2(x + -3) = 0 Reorder the terms: 3(5 + 6x) + -2(x + -3) = 0 (5 * 3 + 6x * 3) + -2(x + -3) = 0 (15 + 18x) + -2(x + -3) = 0 Reorder the terms: 15 + 18x + -2(-3 + x) = 0 15 + 18x + (-3 * -2 + x * -2) = 0 15 + 18x + (6 + -2x) = 0 Reorder the terms: 15 + 6 + 18x + -2x = 0 Combine like terms: 15 + 6 = 21 21 + 18x + -2x = 0 Combine like terms: 18x + -2x = 16x 21 + 16x = 0 Solving 21 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 16x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 16x = 0 + -21 16x = 0 + -21 Combine like terms: 0 + -21 = -21 16x = -21 Divide each side by '16'. x = -1.3125 Simplifying x = -1.3125
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