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Simplifying 6x + -8 + 2(3x + 5) = -4(x + 4) Reorder the terms: 6x + -8 + 2(5 + 3x) = -4(x + 4) 6x + -8 + (5 * 2 + 3x * 2) = -4(x + 4) 6x + -8 + (10 + 6x) = -4(x + 4) Reorder the terms: -8 + 10 + 6x + 6x = -4(x + 4) Combine like terms: -8 + 10 = 2 2 + 6x + 6x = -4(x + 4) Combine like terms: 6x + 6x = 12x 2 + 12x = -4(x + 4) Reorder the terms: 2 + 12x = -4(4 + x) 2 + 12x = (4 * -4 + x * -4) 2 + 12x = (-16 + -4x) Solving 2 + 12x = -16 + -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. 2 + 12x + 4x = -16 + -4x + 4x Combine like terms: 12x + 4x = 16x 2 + 16x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 16x = -16 + 0 2 + 16x = -16 Add '-2' to each side of the equation. 2 + -2 + 16x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = -16 + -2 16x = -16 + -2 Combine like terms: -16 + -2 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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