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Simplifying 2(x + 3) + 6(2x + -1) = 8x + -3 Reorder the terms: 2(3 + x) + 6(2x + -1) = 8x + -3 (3 * 2 + x * 2) + 6(2x + -1) = 8x + -3 (6 + 2x) + 6(2x + -1) = 8x + -3 Reorder the terms: 6 + 2x + 6(-1 + 2x) = 8x + -3 6 + 2x + (-1 * 6 + 2x * 6) = 8x + -3 6 + 2x + (-6 + 12x) = 8x + -3 Reorder the terms: 6 + -6 + 2x + 12x = 8x + -3 Combine like terms: 6 + -6 = 0 0 + 2x + 12x = 8x + -3 2x + 12x = 8x + -3 Combine like terms: 2x + 12x = 14x 14x = 8x + -3 Reorder the terms: 14x = -3 + 8x Solving 14x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14x + -8x = -3 + 8x + -8x Combine like terms: 14x + -8x = 6x 6x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 6x = -3 + 0 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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