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Simplifying -3x + 8x + -21 = 7x + 7 Reorder the terms: -21 + -3x + 8x = 7x + 7 Combine like terms: -3x + 8x = 5x -21 + 5x = 7x + 7 Reorder the terms: -21 + 5x = 7 + 7x Solving -21 + 5x = 7 + 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. -21 + 5x + -7x = 7 + 7x + -7x Combine like terms: 5x + -7x = -2x -21 + -2x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -2x = 7 + 0 -21 + -2x = 7 Add '21' to each side of the equation. -21 + 21 + -2x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 7 + 21 -2x = 7 + 21 Combine like terms: 7 + 21 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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