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Simplifying 21 + -1(x + 6) = 4x + -5 Reorder the terms: 21 + -1(6 + x) = 4x + -5 21 + (6 * -1 + x * -1) = 4x + -5 21 + (-6 + -1x) = 4x + -5 Combine like terms: 21 + -6 = 15 15 + -1x = 4x + -5 Reorder the terms: 15 + -1x = -5 + 4x Solving 15 + -1x = -5 + 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. 15 + -1x + -4x = -5 + 4x + -4x Combine like terms: -1x + -4x = -5x 15 + -5x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -5x = -5 + 0 15 + -5x = -5 Add '-15' to each side of the equation. 15 + -15 + -5x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -5 + -15 -5x = -5 + -15 Combine like terms: -5 + -15 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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