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Simplifying 122 + -1(6x + 3) = 6(x + 9) + x Reorder the terms: 122 + -1(3 + 6x) = 6(x + 9) + x 122 + (3 * -1 + 6x * -1) = 6(x + 9) + x 122 + (-3 + -6x) = 6(x + 9) + x Combine like terms: 122 + -3 = 119 119 + -6x = 6(x + 9) + x Reorder the terms: 119 + -6x = 6(9 + x) + x 119 + -6x = (9 * 6 + x * 6) + x 119 + -6x = (54 + 6x) + x Combine like terms: 6x + x = 7x 119 + -6x = 54 + 7x Solving 119 + -6x = 54 + 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. 119 + -6x + -7x = 54 + 7x + -7x Combine like terms: -6x + -7x = -13x 119 + -13x = 54 + 7x + -7x Combine like terms: 7x + -7x = 0 119 + -13x = 54 + 0 119 + -13x = 54 Add '-119' to each side of the equation. 119 + -119 + -13x = 54 + -119 Combine like terms: 119 + -119 = 0 0 + -13x = 54 + -119 -13x = 54 + -119 Combine like terms: 54 + -119 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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