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Simplifying 21 = 3(1 + 6x) + 5(x + -1) 21 = (1 * 3 + 6x * 3) + 5(x + -1) 21 = (3 + 18x) + 5(x + -1) Reorder the terms: 21 = 3 + 18x + 5(-1 + x) 21 = 3 + 18x + (-1 * 5 + x * 5) 21 = 3 + 18x + (-5 + 5x) Reorder the terms: 21 = 3 + -5 + 18x + 5x Combine like terms: 3 + -5 = -2 21 = -2 + 18x + 5x Combine like terms: 18x + 5x = 23x 21 = -2 + 23x Solving 21 = -2 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 21 + -23x = -2 + 23x + -23x Combine like terms: 23x + -23x = 0 21 + -23x = -2 + 0 21 + -23x = -2 Add '-21' to each side of the equation. 21 + -21 + -23x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -23x = -2 + -21 -23x = -2 + -21 Combine like terms: -2 + -21 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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