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Simplifying 6 + 8(x + 2) = -4(x + -1) Reorder the terms: 6 + 8(2 + x) = -4(x + -1) 6 + (2 * 8 + x * 8) = -4(x + -1) 6 + (16 + 8x) = -4(x + -1) Combine like terms: 6 + 16 = 22 22 + 8x = -4(x + -1) Reorder the terms: 22 + 8x = -4(-1 + x) 22 + 8x = (-1 * -4 + x * -4) 22 + 8x = (4 + -4x) Solving 22 + 8x = 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. 22 + 8x + 4x = 4 + -4x + 4x Combine like terms: 8x + 4x = 12x 22 + 12x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + 12x = 4 + 0 22 + 12x = 4 Add '-22' to each side of the equation. 22 + -22 + 12x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 12x = 4 + -22 12x = 4 + -22 Combine like terms: 4 + -22 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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