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Simplifying 5(2x + -21) = x + 21 Reorder the terms: 5(-21 + 2x) = x + 21 (-21 * 5 + 2x * 5) = x + 21 (-105 + 10x) = x + 21 Reorder the terms: -105 + 10x = 21 + x Solving -105 + 10x = 21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -105 + 10x + -1x = 21 + x + -1x Combine like terms: 10x + -1x = 9x -105 + 9x = 21 + x + -1x Combine like terms: x + -1x = 0 -105 + 9x = 21 + 0 -105 + 9x = 21 Add '105' to each side of the equation. -105 + 105 + 9x = 21 + 105 Combine like terms: -105 + 105 = 0 0 + 9x = 21 + 105 9x = 21 + 105 Combine like terms: 21 + 105 = 126 9x = 126 Divide each side by '9'. x = 14 Simplifying x = 14
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