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Simplifying 2x + 4(2x + -4) = 3 + -1(5x + 2) Reorder the terms: 2x + 4(-4 + 2x) = 3 + -1(5x + 2) 2x + (-4 * 4 + 2x * 4) = 3 + -1(5x + 2) 2x + (-16 + 8x) = 3 + -1(5x + 2) Reorder the terms: -16 + 2x + 8x = 3 + -1(5x + 2) Combine like terms: 2x + 8x = 10x -16 + 10x = 3 + -1(5x + 2) Reorder the terms: -16 + 10x = 3 + -1(2 + 5x) -16 + 10x = 3 + (2 * -1 + 5x * -1) -16 + 10x = 3 + (-2 + -5x) Combine like terms: 3 + -2 = 1 -16 + 10x = 1 + -5x Solving -16 + 10x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 10x + 5x = 1 + -5x + 5x Combine like terms: 10x + 5x = 15x -16 + 15x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 15x = 1 + 0 -16 + 15x = 1 Add '16' to each side of the equation. -16 + 16 + 15x = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 1 + 16 15x = 1 + 16 Combine like terms: 1 + 16 = 17 15x = 17 Divide each side by '15'. x = 1.133333333 Simplifying x = 1.133333333
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