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Simplifying -5(x + 21) = 3(x + 2) Reorder the terms: -5(21 + x) = 3(x + 2) (21 * -5 + x * -5) = 3(x + 2) (-105 + -5x) = 3(x + 2) Reorder the terms: -105 + -5x = 3(2 + x) -105 + -5x = (2 * 3 + x * 3) -105 + -5x = (6 + 3x) Solving -105 + -5x = 6 + 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. -105 + -5x + -3x = 6 + 3x + -3x Combine like terms: -5x + -3x = -8x -105 + -8x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -105 + -8x = 6 + 0 -105 + -8x = 6 Add '105' to each side of the equation. -105 + 105 + -8x = 6 + 105 Combine like terms: -105 + 105 = 0 0 + -8x = 6 + 105 -8x = 6 + 105 Combine like terms: 6 + 105 = 111 -8x = 111 Divide each side by '-8'. x = -13.875 Simplifying x = -13.875
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