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Simplifying 3(2x + 1) = 4x + -6x Reorder the terms: 3(1 + 2x) = 4x + -6x (1 * 3 + 2x * 3) = 4x + -6x (3 + 6x) = 4x + -6x Combine like terms: 4x + -6x = -2x 3 + 6x = -2x Solving 3 + 6x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 0 Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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