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Simplifying 2(3x + -1) + 5(2x + 3) = 0 Reorder the terms: 2(-1 + 3x) + 5(2x + 3) = 0 (-1 * 2 + 3x * 2) + 5(2x + 3) = 0 (-2 + 6x) + 5(2x + 3) = 0 Reorder the terms: -2 + 6x + 5(3 + 2x) = 0 -2 + 6x + (3 * 5 + 2x * 5) = 0 -2 + 6x + (15 + 10x) = 0 Reorder the terms: -2 + 15 + 6x + 10x = 0 Combine like terms: -2 + 15 = 13 13 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x 13 + 16x = 0 Solving 13 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 16x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 0 + -13 16x = 0 + -13 Combine like terms: 0 + -13 = -13 16x = -13 Divide each side by '16'. x = -0.8125 Simplifying x = -0.8125
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