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Simplifying 2(8x + -8) = 4(3x + 5) Reorder the terms: 2(-8 + 8x) = 4(3x + 5) (-8 * 2 + 8x * 2) = 4(3x + 5) (-16 + 16x) = 4(3x + 5) Reorder the terms: -16 + 16x = 4(5 + 3x) -16 + 16x = (5 * 4 + 3x * 4) -16 + 16x = (20 + 12x) Solving -16 + 16x = 20 + 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 + 16x + -12x = 20 + 12x + -12x Combine like terms: 16x + -12x = 4x -16 + 4x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + 4x = 20 + 0 -16 + 4x = 20 Add '16' to each side of the equation. -16 + 16 + 4x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 20 + 16 4x = 20 + 16 Combine like terms: 20 + 16 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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