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Simplifying 3x + -1(4x + 8) = 2(16 + -1x) Reorder the terms: 3x + -1(8 + 4x) = 2(16 + -1x) 3x + (8 * -1 + 4x * -1) = 2(16 + -1x) 3x + (-8 + -4x) = 2(16 + -1x) Reorder the terms: -8 + 3x + -4x = 2(16 + -1x) Combine like terms: 3x + -4x = -1x -8 + -1x = 2(16 + -1x) -8 + -1x = (16 * 2 + -1x * 2) -8 + -1x = (32 + -2x) Solving -8 + -1x = 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. -8 + -1x + 2x = 32 + -2x + 2x Combine like terms: -1x + 2x = 1x -8 + 1x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 1x = 32 + 0 -8 + 1x = 32 Add '8' to each side of the equation. -8 + 8 + 1x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 32 + 8 1x = 32 + 8 Combine like terms: 32 + 8 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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