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Simplifying 4 + -21 = 8x + -4 + -7x Combine like terms: 4 + -21 = -17 -17 = 8x + -4 + -7x Reorder the terms: -17 = -4 + 8x + -7x Combine like terms: 8x + -7x = 1x -17 = -4 + 1x Solving -17 = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + -1x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + -1x = -4 + 0 -17 + -1x = -4 Add '17' to each side of the equation. -17 + 17 + -1x = -4 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -4 + 17 -1x = -4 + 17 Combine like terms: -4 + 17 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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