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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 Add '-32' to each side of the equation. 32 + -32 + 12x = 32 + -32 + -2x Combine like terms: 32 + -32 = 0 0 + 12x = 32 + -32 + -2x 12x = 32 + -32 + -2x Combine like terms: 32 + -32 = 0 12x = 0 + -2x 12x = -2x Solving 12x = -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. 12x + 2x = -2x + 2x Combine like terms: 12x + 2x = 14x 14x = -2x + 2x Combine like terms: -2x + 2x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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