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Simplifying 3(6x + 1) = -5(2x + 3) Reorder the terms: 3(1 + 6x) = -5(2x + 3) (1 * 3 + 6x * 3) = -5(2x + 3) (3 + 18x) = -5(2x + 3) Reorder the terms: 3 + 18x = -5(3 + 2x) 3 + 18x = (3 * -5 + 2x * -5) 3 + 18x = (-15 + -10x) Solving 3 + 18x = -15 + -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. 3 + 18x + 10x = -15 + -10x + 10x Combine like terms: 18x + 10x = 28x 3 + 28x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 28x = -15 + 0 3 + 28x = -15 Add '-3' to each side of the equation. 3 + -3 + 28x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 28x = -15 + -3 28x = -15 + -3 Combine like terms: -15 + -3 = -18 28x = -18 Divide each side by '28'. x = -0.6428571429 Simplifying x = -0.6428571429
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