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Simplifying 2(x + -8) = 4(3x + 6) Reorder the terms: 2(-8 + x) = 4(3x + 6) (-8 * 2 + x * 2) = 4(3x + 6) (-16 + 2x) = 4(3x + 6) Reorder the terms: -16 + 2x = 4(6 + 3x) -16 + 2x = (6 * 4 + 3x * 4) -16 + 2x = (24 + 12x) Solving -16 + 2x = 24 + 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 + 2x + -12x = 24 + 12x + -12x Combine like terms: 2x + -12x = -10x -16 + -10x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -10x = 24 + 0 -16 + -10x = 24 Add '16' to each side of the equation. -16 + 16 + -10x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 24 + 16 -10x = 24 + 16 Combine like terms: 24 + 16 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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