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Simplifying -5x + -10 + 7 + -1x = 3x + 21 Reorder the terms: -10 + 7 + -5x + -1x = 3x + 21 Combine like terms: -10 + 7 = -3 -3 + -5x + -1x = 3x + 21 Combine like terms: -5x + -1x = -6x -3 + -6x = 3x + 21 Reorder the terms: -3 + -6x = 21 + 3x Solving -3 + -6x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -6x + -3x = 21 + 3x + -3x Combine like terms: -6x + -3x = -9x -3 + -9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -9x = 21 + 0 -3 + -9x = 21 Add '3' to each side of the equation. -3 + 3 + -9x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 21 + 3 -9x = 21 + 3 Combine like terms: 21 + 3 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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