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Simplifying 2(6x + 3) + 2 = -4(x + 1) Reorder the terms: 2(3 + 6x) + 2 = -4(x + 1) (3 * 2 + 6x * 2) + 2 = -4(x + 1) (6 + 12x) + 2 = -4(x + 1) Reorder the terms: 6 + 2 + 12x = -4(x + 1) Combine like terms: 6 + 2 = 8 8 + 12x = -4(x + 1) Reorder the terms: 8 + 12x = -4(1 + x) 8 + 12x = (1 * -4 + x * -4) 8 + 12x = (-4 + -4x) Solving 8 + 12x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 12x + 4x = -4 + -4x + 4x Combine like terms: 12x + 4x = 16x 8 + 16x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 16x = -4 + 0 8 + 16x = -4 Add '-8' to each side of the equation. 8 + -8 + 16x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = -4 + -8 16x = -4 + -8 Combine like terms: -4 + -8 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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