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Simplifying 8x + -8 + 4(2x + 3) = -2(x + 3) Reorder the terms: 8x + -8 + 4(3 + 2x) = -2(x + 3) 8x + -8 + (3 * 4 + 2x * 4) = -2(x + 3) 8x + -8 + (12 + 8x) = -2(x + 3) Reorder the terms: -8 + 12 + 8x + 8x = -2(x + 3) Combine like terms: -8 + 12 = 4 4 + 8x + 8x = -2(x + 3) Combine like terms: 8x + 8x = 16x 4 + 16x = -2(x + 3) Reorder the terms: 4 + 16x = -2(3 + x) 4 + 16x = (3 * -2 + x * -2) 4 + 16x = (-6 + -2x) Solving 4 + 16x = -6 + -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. 4 + 16x + 2x = -6 + -2x + 2x Combine like terms: 16x + 2x = 18x 4 + 18x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 18x = -6 + 0 4 + 18x = -6 Add '-4' to each side of the equation. 4 + -4 + 18x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = -6 + -4 18x = -6 + -4 Combine like terms: -6 + -4 = -10 18x = -10 Divide each side by '18'. x = -0.5555555556 Simplifying x = -0.5555555556
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