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Simplifying 4(3x + -8) = 16 + -2(x + -8) Reorder the terms: 4(-8 + 3x) = 16 + -2(x + -8) (-8 * 4 + 3x * 4) = 16 + -2(x + -8) (-32 + 12x) = 16 + -2(x + -8) Reorder the terms: -32 + 12x = 16 + -2(-8 + x) -32 + 12x = 16 + (-8 * -2 + x * -2) -32 + 12x = 16 + (16 + -2x) Combine like terms: 16 + 16 = 32 -32 + 12x = 32 + -2x Solving -32 + 12x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 12x + 2x = 32 + -2x + 2x Combine like terms: 12x + 2x = 14x -32 + 14x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 14x = 32 + 0 -32 + 14x = 32 Add '32' to each side of the equation. -32 + 32 + 14x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = 32 + 32 14x = 32 + 32 Combine like terms: 32 + 32 = 64 14x = 64 Divide each side by '14'. x = 4.571428571 Simplifying x = 4.571428571
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