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Simplifying 2(x + -4) = 16 + -1(x + 6) Reorder the terms: 2(-4 + x) = 16 + -1(x + 6) (-4 * 2 + x * 2) = 16 + -1(x + 6) (-8 + 2x) = 16 + -1(x + 6) Reorder the terms: -8 + 2x = 16 + -1(6 + x) -8 + 2x = 16 + (6 * -1 + x * -1) -8 + 2x = 16 + (-6 + -1x) Combine like terms: 16 + -6 = 10 -8 + 2x = 10 + -1x Solving -8 + 2x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 2x + x = 10 + -1x + x Combine like terms: 2x + x = 3x -8 + 3x = 10 + -1x + x Combine like terms: -1x + x = 0 -8 + 3x = 10 + 0 -8 + 3x = 10 Add '8' to each side of the equation. -8 + 8 + 3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 10 + 8 3x = 10 + 8 Combine like terms: 10 + 8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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