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Simplifying -1(x + 21) = 3(x + 13) Reorder the terms: -1(21 + x) = 3(x + 13) (21 * -1 + x * -1) = 3(x + 13) (-21 + -1x) = 3(x + 13) Reorder the terms: -21 + -1x = 3(13 + x) -21 + -1x = (13 * 3 + x * 3) -21 + -1x = (39 + 3x) Solving -21 + -1x = 39 + 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 + -1x + -3x = 39 + 3x + -3x Combine like terms: -1x + -3x = -4x -21 + -4x = 39 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -4x = 39 + 0 -21 + -4x = 39 Add '21' to each side of the equation. -21 + 21 + -4x = 39 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 39 + 21 -4x = 39 + 21 Combine like terms: 39 + 21 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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