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Simplifying -5x + -1(-4x + y + 6) = 21 Reorder the terms: -5x + -1(6 + -4x + y) = 21 -5x + (6 * -1 + -4x * -1 + y * -1) = 21 -5x + (-6 + 4x + -1y) = 21 Reorder the terms: -6 + -5x + 4x + -1y = 21 Combine like terms: -5x + 4x = -1x -6 + -1x + -1y = 21 Solving -6 + -1x + -1y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1x + 6 + -1y = 21 + 6 Reorder the terms: -6 + 6 + -1x + -1y = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -1x + -1y = 21 + 6 -1x + -1y = 21 + 6 Combine like terms: 21 + 6 = 27 -1x + -1y = 27 Add 'y' to each side of the equation. -1x + -1y + y = 27 + y Combine like terms: -1y + y = 0 -1x + 0 = 27 + y -1x = 27 + y Divide each side by '-1'. x = -27 + -1y Simplifying x = -27 + -1y
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