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Simplifying 6x + -1(3x + -5) = 11 + 3(4 + -1x) Reorder the terms: 6x + -1(-5 + 3x) = 11 + 3(4 + -1x) 6x + (-5 * -1 + 3x * -1) = 11 + 3(4 + -1x) 6x + (5 + -3x) = 11 + 3(4 + -1x) Reorder the terms: 5 + 6x + -3x = 11 + 3(4 + -1x) Combine like terms: 6x + -3x = 3x 5 + 3x = 11 + 3(4 + -1x) 5 + 3x = 11 + (4 * 3 + -1x * 3) 5 + 3x = 11 + (12 + -3x) Combine like terms: 11 + 12 = 23 5 + 3x = 23 + -3x Solving 5 + 3x = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 3x + 3x = 23 + -3x + 3x Combine like terms: 3x + 3x = 6x 5 + 6x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 6x = 23 + 0 5 + 6x = 23 Add '-5' to each side of the equation. 5 + -5 + 6x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 23 + -5 6x = 23 + -5 Combine like terms: 23 + -5 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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