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Simplifying 16 + -1(-2x + -4) + -1(5x + -3x + 2) = -4 + -1(-8x + 2) Reorder the terms: 16 + -1(-4 + -2x) + -1(5x + -3x + 2) = -4 + -1(-8x + 2) 16 + (-4 * -1 + -2x * -1) + -1(5x + -3x + 2) = -4 + -1(-8x + 2) 16 + (4 + 2x) + -1(5x + -3x + 2) = -4 + -1(-8x + 2) Reorder the terms: 16 + 4 + 2x + -1(2 + 5x + -3x) = -4 + -1(-8x + 2) Combine like terms: 5x + -3x = 2x 16 + 4 + 2x + -1(2 + 2x) = -4 + -1(-8x + 2) 16 + 4 + 2x + (2 * -1 + 2x * -1) = -4 + -1(-8x + 2) 16 + 4 + 2x + (-2 + -2x) = -4 + -1(-8x + 2) Reorder the terms: 16 + 4 + -2 + 2x + -2x = -4 + -1(-8x + 2) Combine like terms: 16 + 4 = 20 20 + -2 + 2x + -2x = -4 + -1(-8x + 2) Combine like terms: 20 + -2 = 18 18 + 2x + -2x = -4 + -1(-8x + 2) Combine like terms: 2x + -2x = 0 18 + 0 = -4 + -1(-8x + 2) 18 = -4 + -1(-8x + 2) Reorder the terms: 18 = -4 + -1(2 + -8x) 18 = -4 + (2 * -1 + -8x * -1) 18 = -4 + (-2 + 8x) Combine like terms: -4 + -2 = -6 18 = -6 + 8x Solving 18 = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + -8x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -8x = -6 + 0 18 + -8x = -6 Add '-18' to each side of the equation. 18 + -18 + -8x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -6 + -18 -8x = -6 + -18 Combine like terms: -6 + -18 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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