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Simplifying 4x + -1(x + 6) + -2(x + -2) = 16 + -2x Reorder the terms: 4x + -1(6 + x) + -2(x + -2) = 16 + -2x 4x + (6 * -1 + x * -1) + -2(x + -2) = 16 + -2x 4x + (-6 + -1x) + -2(x + -2) = 16 + -2x Reorder the terms: 4x + -6 + -1x + -2(-2 + x) = 16 + -2x 4x + -6 + -1x + (-2 * -2 + x * -2) = 16 + -2x 4x + -6 + -1x + (4 + -2x) = 16 + -2x Reorder the terms: -6 + 4 + 4x + -1x + -2x = 16 + -2x Combine like terms: -6 + 4 = -2 -2 + 4x + -1x + -2x = 16 + -2x Combine like terms: 4x + -1x = 3x -2 + 3x + -2x = 16 + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 16 + -2x Solving -2 + 1x = 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. -2 + 1x + 2x = 16 + -2x + 2x Combine like terms: 1x + 2x = 3x -2 + 3x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 3x = 16 + 0 -2 + 3x = 16 Add '2' to each side of the equation. -2 + 2 + 3x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 16 + 2 3x = 16 + 2 Combine like terms: 16 + 2 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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