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Simplifying 3 + -7x + 10 + -14 = 9 + -6x + 9x + -20 Reorder the terms: 3 + 10 + -14 + -7x = 9 + -6x + 9x + -20 Combine like terms: 3 + 10 = 13 13 + -14 + -7x = 9 + -6x + 9x + -20 Combine like terms: 13 + -14 = -1 -1 + -7x = 9 + -6x + 9x + -20 Reorder the terms: -1 + -7x = 9 + -20 + -6x + 9x Combine like terms: 9 + -20 = -11 -1 + -7x = -11 + -6x + 9x Combine like terms: -6x + 9x = 3x -1 + -7x = -11 + 3x Solving -1 + -7x = -11 + 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. -1 + -7x + -3x = -11 + 3x + -3x Combine like terms: -7x + -3x = -10x -1 + -10x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -10x = -11 + 0 -1 + -10x = -11 Add '1' to each side of the equation. -1 + 1 + -10x = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = -11 + 1 -10x = -11 + 1 Combine like terms: -11 + 1 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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