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Simplifying 119 + -1(6x + 11) = 6(x + 5) + x Reorder the terms: 119 + -1(11 + 6x) = 6(x + 5) + x 119 + (11 * -1 + 6x * -1) = 6(x + 5) + x 119 + (-11 + -6x) = 6(x + 5) + x Combine like terms: 119 + -11 = 108 108 + -6x = 6(x + 5) + x Reorder the terms: 108 + -6x = 6(5 + x) + x 108 + -6x = (5 * 6 + x * 6) + x 108 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 108 + -6x = 30 + 7x Solving 108 + -6x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 108 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 108 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 108 + -13x = 30 + 0 108 + -13x = 30 Add '-108' to each side of the equation. 108 + -108 + -13x = 30 + -108 Combine like terms: 108 + -108 = 0 0 + -13x = 30 + -108 -13x = 30 + -108 Combine like terms: 30 + -108 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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