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Simplifying 122 + -1(6x + 7) = 6(x + 4) + x Reorder the terms: 122 + -1(7 + 6x) = 6(x + 4) + x 122 + (7 * -1 + 6x * -1) = 6(x + 4) + x 122 + (-7 + -6x) = 6(x + 4) + x Combine like terms: 122 + -7 = 115 115 + -6x = 6(x + 4) + x Reorder the terms: 115 + -6x = 6(4 + x) + x 115 + -6x = (4 * 6 + x * 6) + x 115 + -6x = (24 + 6x) + x Combine like terms: 6x + x = 7x 115 + -6x = 24 + 7x Solving 115 + -6x = 24 + 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. 115 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x 115 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 115 + -13x = 24 + 0 115 + -13x = 24 Add '-115' to each side of the equation. 115 + -115 + -13x = 24 + -115 Combine like terms: 115 + -115 = 0 0 + -13x = 24 + -115 -13x = 24 + -115 Combine like terms: 24 + -115 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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