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Simplifying -21 = 5x + -2(x + 21) Reorder the terms: -21 = 5x + -2(21 + x) -21 = 5x + (21 * -2 + x * -2) -21 = 5x + (-42 + -2x) Reorder the terms: -21 = -42 + 5x + -2x Combine like terms: 5x + -2x = 3x -21 = -42 + 3x Solving -21 = -42 + 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. -21 + -3x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -3x = -42 + 0 -21 + -3x = -42 Add '21' to each side of the equation. -21 + 21 + -3x = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -42 + 21 -3x = -42 + 21 Combine like terms: -42 + 21 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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