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Simplifying -42 + -10x + 14 = -25x + 21 + 8x Reorder the terms: -42 + 14 + -10x = -25x + 21 + 8x Combine like terms: -42 + 14 = -28 -28 + -10x = -25x + 21 + 8x Reorder the terms: -28 + -10x = 21 + -25x + 8x Combine like terms: -25x + 8x = -17x -28 + -10x = 21 + -17x Solving -28 + -10x = 21 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -28 + -10x + 17x = 21 + -17x + 17x Combine like terms: -10x + 17x = 7x -28 + 7x = 21 + -17x + 17x Combine like terms: -17x + 17x = 0 -28 + 7x = 21 + 0 -28 + 7x = 21 Add '28' to each side of the equation. -28 + 28 + 7x = 21 + 28 Combine like terms: -28 + 28 = 0 0 + 7x = 21 + 28 7x = 21 + 28 Combine like terms: 21 + 28 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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