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Simplifying 4x + -1(x + 6) + -1(x + -2) = 16 + -2x Reorder the terms: 4x + -1(6 + x) + -1(x + -2) = 16 + -2x 4x + (6 * -1 + x * -1) + -1(x + -2) = 16 + -2x 4x + (-6 + -1x) + -1(x + -2) = 16 + -2x Reorder the terms: 4x + -6 + -1x + -1(-2 + x) = 16 + -2x 4x + -6 + -1x + (-2 * -1 + x * -1) = 16 + -2x 4x + -6 + -1x + (2 + -1x) = 16 + -2x Reorder the terms: -6 + 2 + 4x + -1x + -1x = 16 + -2x Combine like terms: -6 + 2 = -4 -4 + 4x + -1x + -1x = 16 + -2x Combine like terms: 4x + -1x = 3x -4 + 3x + -1x = 16 + -2x Combine like terms: 3x + -1x = 2x -4 + 2x = 16 + -2x Solving -4 + 2x = 16 + -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. -4 + 2x + 2x = 16 + -2x + 2x Combine like terms: 2x + 2x = 4x -4 + 4x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 4x = 16 + 0 -4 + 4x = 16 Add '4' to each side of the equation. -4 + 4 + 4x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 16 + 4 4x = 16 + 4 Combine like terms: 16 + 4 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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