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Simplifying 3x + -5(4x + 2) = 17x + -1(2x + 4) Reorder the terms: 3x + -5(2 + 4x) = 17x + -1(2x + 4) 3x + (2 * -5 + 4x * -5) = 17x + -1(2x + 4) 3x + (-10 + -20x) = 17x + -1(2x + 4) Reorder the terms: -10 + 3x + -20x = 17x + -1(2x + 4) Combine like terms: 3x + -20x = -17x -10 + -17x = 17x + -1(2x + 4) Reorder the terms: -10 + -17x = 17x + -1(4 + 2x) -10 + -17x = 17x + (4 * -1 + 2x * -1) -10 + -17x = 17x + (-4 + -2x) Reorder the terms: -10 + -17x = -4 + 17x + -2x Combine like terms: 17x + -2x = 15x -10 + -17x = -4 + 15x Solving -10 + -17x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + -17x + -15x = -4 + 15x + -15x Combine like terms: -17x + -15x = -32x -10 + -32x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -32x = -4 + 0 -10 + -32x = -4 Add '10' to each side of the equation. -10 + 10 + -32x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -32x = -4 + 10 -32x = -4 + 10 Combine like terms: -4 + 10 = 6 -32x = 6 Divide each side by '-32'. x = -0.1875 Simplifying x = -0.1875
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