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Simplifying 8x + -13 + (-14x) = 21 + -7x + -35 Reorder the terms: -13 + 8x + (-14x) = 21 + -7x + -35 Combine like terms: 8x + (-14x) = -6x -13 + -6x = 21 + -7x + -35 Reorder the terms: -13 + -6x = 21 + -35 + -7x Combine like terms: 21 + -35 = -14 -13 + -6x = -14 + -7x Solving -13 + -6x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -13 + -6x + 7x = -14 + -7x + 7x Combine like terms: -6x + 7x = 1x -13 + 1x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 1x = -14 + 0 -13 + 1x = -14 Add '13' to each side of the equation. -13 + 13 + 1x = -14 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -14 + 13 1x = -14 + 13 Combine like terms: -14 + 13 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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