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Simplifying 5(x + -7) + 21 = x + -27 Reorder the terms: 5(-7 + x) + 21 = x + -27 (-7 * 5 + x * 5) + 21 = x + -27 (-35 + 5x) + 21 = x + -27 Reorder the terms: -35 + 21 + 5x = x + -27 Combine like terms: -35 + 21 = -14 -14 + 5x = x + -27 Reorder the terms: -14 + 5x = -27 + x Solving -14 + 5x = -27 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 5x + -1x = -27 + x + -1x Combine like terms: 5x + -1x = 4x -14 + 4x = -27 + x + -1x Combine like terms: x + -1x = 0 -14 + 4x = -27 + 0 -14 + 4x = -27 Add '14' to each side of the equation. -14 + 14 + 4x = -27 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -27 + 14 4x = -27 + 14 Combine like terms: -27 + 14 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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