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Simplifying -6x + -2(x + -8) = 4(9 + 3x) Reorder the terms: -6x + -2(-8 + x) = 4(9 + 3x) -6x + (-8 * -2 + x * -2) = 4(9 + 3x) -6x + (16 + -2x) = 4(9 + 3x) Reorder the terms: 16 + -6x + -2x = 4(9 + 3x) Combine like terms: -6x + -2x = -8x 16 + -8x = 4(9 + 3x) 16 + -8x = (9 * 4 + 3x * 4) 16 + -8x = (36 + 12x) Solving 16 + -8x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + -8x + -12x = 36 + 12x + -12x Combine like terms: -8x + -12x = -20x 16 + -20x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -20x = 36 + 0 16 + -20x = 36 Add '-16' to each side of the equation. 16 + -16 + -20x = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -20x = 36 + -16 -20x = 36 + -16 Combine like terms: 36 + -16 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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