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Simplifying 2(2x + 3) + 8x = 6(x + -1) + 3 Reorder the terms: 2(3 + 2x) + 8x = 6(x + -1) + 3 (3 * 2 + 2x * 2) + 8x = 6(x + -1) + 3 (6 + 4x) + 8x = 6(x + -1) + 3 Combine like terms: 4x + 8x = 12x 6 + 12x = 6(x + -1) + 3 Reorder the terms: 6 + 12x = 6(-1 + x) + 3 6 + 12x = (-1 * 6 + x * 6) + 3 6 + 12x = (-6 + 6x) + 3 Reorder the terms: 6 + 12x = -6 + 3 + 6x Combine like terms: -6 + 3 = -3 6 + 12x = -3 + 6x Solving 6 + 12x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 12x + -6x = -3 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = -3 + 0 6 + 6x = -3 Add '-6' to each side of the equation. 6 + -6 + 6x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -3 + -6 6x = -3 + -6 Combine like terms: -3 + -6 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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