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Simplifying 120 + -1(6x + 11) = 6(x + 3) + x Reorder the terms: 120 + -1(11 + 6x) = 6(x + 3) + x 120 + (11 * -1 + 6x * -1) = 6(x + 3) + x 120 + (-11 + -6x) = 6(x + 3) + x Combine like terms: 120 + -11 = 109 109 + -6x = 6(x + 3) + x Reorder the terms: 109 + -6x = 6(3 + x) + x 109 + -6x = (3 * 6 + x * 6) + x 109 + -6x = (18 + 6x) + x Combine like terms: 6x + x = 7x 109 + -6x = 18 + 7x Solving 109 + -6x = 18 + 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. 109 + -6x + -7x = 18 + 7x + -7x Combine like terms: -6x + -7x = -13x 109 + -13x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 109 + -13x = 18 + 0 109 + -13x = 18 Add '-109' to each side of the equation. 109 + -109 + -13x = 18 + -109 Combine like terms: 109 + -109 = 0 0 + -13x = 18 + -109 -13x = 18 + -109 Combine like terms: 18 + -109 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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