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Simplifying 6x + -21 = 6x + 17 + x Reorder the terms: -21 + 6x = 6x + 17 + x Reorder the terms: -21 + 6x = 17 + 6x + x Combine like terms: 6x + x = 7x -21 + 6x = 17 + 7x Solving -21 + 6x = 17 + 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 + 6x + -7x = 17 + 7x + -7x Combine like terms: 6x + -7x = -1x -21 + -1x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -1x = 17 + 0 -21 + -1x = 17 Add '21' to each side of the equation. -21 + 21 + -1x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 17 + 21 -1x = 17 + 21 Combine like terms: 17 + 21 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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