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Simplifying 2(x + -1(8 + -1x)) = 3(x + 1) 2(x + (8 * -1 + -1x * -1)) = 3(x + 1) 2(x + (-8 + 1x)) = 3(x + 1) Reorder the terms: 2(-8 + x + 1x) = 3(x + 1) Combine like terms: x + 1x = 2x 2(-8 + 2x) = 3(x + 1) (-8 * 2 + 2x * 2) = 3(x + 1) (-16 + 4x) = 3(x + 1) Reorder the terms: -16 + 4x = 3(1 + x) -16 + 4x = (1 * 3 + x * 3) -16 + 4x = (3 + 3x) Solving -16 + 4x = 3 + 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. -16 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x -16 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 1x = 3 + 0 -16 + 1x = 3 Add '16' to each side of the equation. -16 + 16 + 1x = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 3 + 16 1x = 3 + 16 Combine like terms: 3 + 16 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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