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Simplifying 21x + -6 + -14x + 4 = 17x + -9 + -10x + -9 + -10x + 15 Reorder the terms: -6 + 4 + 21x + -14x = 17x + -9 + -10x + -9 + -10x + 15 Combine like terms: -6 + 4 = -2 -2 + 21x + -14x = 17x + -9 + -10x + -9 + -10x + 15 Combine like terms: 21x + -14x = 7x -2 + 7x = 17x + -9 + -10x + -9 + -10x + 15 Reorder the terms: -2 + 7x = -9 + -9 + 15 + 17x + -10x + -10x Combine like terms: -9 + -9 = -18 -2 + 7x = -18 + 15 + 17x + -10x + -10x Combine like terms: -18 + 15 = -3 -2 + 7x = -3 + 17x + -10x + -10x Combine like terms: 17x + -10x = 7x -2 + 7x = -3 + 7x + -10x Combine like terms: 7x + -10x = -3x -2 + 7x = -3 + -3x Solving -2 + 7x = -3 + -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 + 7x + 3x = -3 + -3x + 3x Combine like terms: 7x + 3x = 10x -2 + 10x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 10x = -3 + 0 -2 + 10x = -3 Add '2' to each side of the equation. -2 + 2 + 10x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -3 + 2 10x = -3 + 2 Combine like terms: -3 + 2 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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