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Simplifying 6(2x + 1) = 5x + -8x Reorder the terms: 6(1 + 2x) = 5x + -8x (1 * 6 + 2x * 6) = 5x + -8x (6 + 12x) = 5x + -8x Combine like terms: 5x + -8x = -3x 6 + 12x = -3x Solving 6 + 12x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 12x + 3x = -3x + 3x Combine like terms: 12x + 3x = 15x 6 + 15x = -3x + 3x Combine like terms: -3x + 3x = 0 6 + 15x = 0 Add '-6' to each side of the equation. 6 + -6 + 15x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 0 + -6 15x = 0 + -6 Combine like terms: 0 + -6 = -6 15x = -6 Divide each side by '15'. x = -0.4 Simplifying x = -0.4
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