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Simplifying 2x + 10 + 7x + -14 = -1x + -7 + 14 + -1x Reorder the terms: 10 + -14 + 2x + 7x = -1x + -7 + 14 + -1x Combine like terms: 10 + -14 = -4 -4 + 2x + 7x = -1x + -7 + 14 + -1x Combine like terms: 2x + 7x = 9x -4 + 9x = -1x + -7 + 14 + -1x Reorder the terms: -4 + 9x = -7 + 14 + -1x + -1x Combine like terms: -7 + 14 = 7 -4 + 9x = 7 + -1x + -1x Combine like terms: -1x + -1x = -2x -4 + 9x = 7 + -2x Solving -4 + 9x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 9x + 2x = 7 + -2x + 2x Combine like terms: 9x + 2x = 11x -4 + 11x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 11x = 7 + 0 -4 + 11x = 7 Add '4' to each side of the equation. -4 + 4 + 11x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 7 + 4 11x = 7 + 4 Combine like terms: 7 + 4 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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