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Simplifying 3(6x + 2) = -2(5x + 3) Reorder the terms: 3(2 + 6x) = -2(5x + 3) (2 * 3 + 6x * 3) = -2(5x + 3) (6 + 18x) = -2(5x + 3) Reorder the terms: 6 + 18x = -2(3 + 5x) 6 + 18x = (3 * -2 + 5x * -2) 6 + 18x = (-6 + -10x) Solving 6 + 18x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 18x + 10x = -6 + -10x + 10x Combine like terms: 18x + 10x = 28x 6 + 28x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 28x = -6 + 0 6 + 28x = -6 Add '-6' to each side of the equation. 6 + -6 + 28x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 28x = -6 + -6 28x = -6 + -6 Combine like terms: -6 + -6 = -12 28x = -12 Divide each side by '28'. x = -0.4285714286 Simplifying x = -0.4285714286
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