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Simplifying 3x + -7 + -5x = 6x + 21 Reorder the terms: -7 + 3x + -5x = 6x + 21 Combine like terms: 3x + -5x = -2x -7 + -2x = 6x + 21 Reorder the terms: -7 + -2x = 21 + 6x Solving -7 + -2x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x -7 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -8x = 21 + 0 -7 + -8x = 21 Add '7' to each side of the equation. -7 + 7 + -8x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 21 + 7 -8x = 21 + 7 Combine like terms: 21 + 7 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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