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Simplifying 21 + -1(x + 7) = 4x + -6 Reorder the terms: 21 + -1(7 + x) = 4x + -6 21 + (7 * -1 + x * -1) = 4x + -6 21 + (-7 + -1x) = 4x + -6 Combine like terms: 21 + -7 = 14 14 + -1x = 4x + -6 Reorder the terms: 14 + -1x = -6 + 4x Solving 14 + -1x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x 14 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -5x = -6 + 0 14 + -5x = -6 Add '-14' to each side of the equation. 14 + -14 + -5x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -6 + -14 -5x = -6 + -14 Combine like terms: -6 + -14 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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