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Simplifying -4x + -21 = -1(x + -27) Reorder the terms: -21 + -4x = -1(x + -27) Reorder the terms: -21 + -4x = -1(-27 + x) -21 + -4x = (-27 * -1 + x * -1) -21 + -4x = (27 + -1x) Solving -21 + -4x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + -4x + x = 27 + -1x + x Combine like terms: -4x + x = -3x -21 + -3x = 27 + -1x + x Combine like terms: -1x + x = 0 -21 + -3x = 27 + 0 -21 + -3x = 27 Add '21' to each side of the equation. -21 + 21 + -3x = 27 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 27 + 21 -3x = 27 + 21 Combine like terms: 27 + 21 = 48 -3x = 48 Divide each side by '-3'. x = -16 Simplifying x = -16
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