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Simplifying 2x + -1(4 + x) = 16 + -3(x + 2) 2x + (4 * -1 + x * -1) = 16 + -3(x + 2) 2x + (-4 + -1x) = 16 + -3(x + 2) Reorder the terms: -4 + 2x + -1x = 16 + -3(x + 2) Combine like terms: 2x + -1x = 1x -4 + 1x = 16 + -3(x + 2) Reorder the terms: -4 + 1x = 16 + -3(2 + x) -4 + 1x = 16 + (2 * -3 + x * -3) -4 + 1x = 16 + (-6 + -3x) Combine like terms: 16 + -6 = 10 -4 + 1x = 10 + -3x Solving -4 + 1x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 1x + 3x = 10 + -3x + 3x Combine like terms: 1x + 3x = 4x -4 + 4x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 4x = 10 + 0 -4 + 4x = 10 Add '4' to each side of the equation. -4 + 4 + 4x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 10 + 4 4x = 10 + 4 Combine like terms: 10 + 4 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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