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Simplifying 16 + -1(-2x + -4) + -1(5x + -3x + 2) = -4x + -1(-8x + 2) Reorder the terms: 16 + -1(-4 + -2x) + -1(5x + -3x + 2) = -4x + -1(-8x + 2) 16 + (-4 * -1 + -2x * -1) + -1(5x + -3x + 2) = -4x + -1(-8x + 2) 16 + (4 + 2x) + -1(5x + -3x + 2) = -4x + -1(-8x + 2) Reorder the terms: 16 + 4 + 2x + -1(2 + 5x + -3x) = -4x + -1(-8x + 2) Combine like terms: 5x + -3x = 2x 16 + 4 + 2x + -1(2 + 2x) = -4x + -1(-8x + 2) 16 + 4 + 2x + (2 * -1 + 2x * -1) = -4x + -1(-8x + 2) 16 + 4 + 2x + (-2 + -2x) = -4x + -1(-8x + 2) Reorder the terms: 16 + 4 + -2 + 2x + -2x = -4x + -1(-8x + 2) Combine like terms: 16 + 4 = 20 20 + -2 + 2x + -2x = -4x + -1(-8x + 2) Combine like terms: 20 + -2 = 18 18 + 2x + -2x = -4x + -1(-8x + 2) Combine like terms: 2x + -2x = 0 18 + 0 = -4x + -1(-8x + 2) 18 = -4x + -1(-8x + 2) Reorder the terms: 18 = -4x + -1(2 + -8x) 18 = -4x + (2 * -1 + -8x * -1) 18 = -4x + (-2 + 8x) Reorder the terms: 18 = -2 + -4x + 8x Combine like terms: -4x + 8x = 4x 18 = -2 + 4x Solving 18 = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -4x = -2 + 0 18 + -4x = -2 Add '-18' to each side of the equation. 18 + -18 + -4x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = -2 + -18 -4x = -2 + -18 Combine like terms: -2 + -18 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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