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Simplifying 9x + -1(4x + -2) = 16 + -1(3x + 2) Reorder the terms: 9x + -1(-2 + 4x) = 16 + -1(3x + 2) 9x + (-2 * -1 + 4x * -1) = 16 + -1(3x + 2) 9x + (2 + -4x) = 16 + -1(3x + 2) Reorder the terms: 2 + 9x + -4x = 16 + -1(3x + 2) Combine like terms: 9x + -4x = 5x 2 + 5x = 16 + -1(3x + 2) Reorder the terms: 2 + 5x = 16 + -1(2 + 3x) 2 + 5x = 16 + (2 * -1 + 3x * -1) 2 + 5x = 16 + (-2 + -3x) Combine like terms: 16 + -2 = 14 2 + 5x = 14 + -3x Solving 2 + 5x = 14 + -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. 2 + 5x + 3x = 14 + -3x + 3x Combine like terms: 5x + 3x = 8x 2 + 8x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 8x = 14 + 0 2 + 8x = 14 Add '-2' to each side of the equation. 2 + -2 + 8x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 14 + -2 8x = 14 + -2 Combine like terms: 14 + -2 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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