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Simplifying 21 + -1(x + 6) = 5x + -3 Reorder the terms: 21 + -1(6 + x) = 5x + -3 21 + (6 * -1 + x * -1) = 5x + -3 21 + (-6 + -1x) = 5x + -3 Combine like terms: 21 + -6 = 15 15 + -1x = 5x + -3 Reorder the terms: 15 + -1x = -3 + 5x Solving 15 + -1x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -1x + -5x = -3 + 5x + -5x Combine like terms: -1x + -5x = -6x 15 + -6x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -6x = -3 + 0 15 + -6x = -3 Add '-15' to each side of the equation. 15 + -15 + -6x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -3 + -15 -6x = -3 + -15 Combine like terms: -3 + -15 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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