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