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Simplifying 122 + -1(7x + 5) = 7(x + 6) + x Reorder the terms: 122 + -1(5 + 7x) = 7(x + 6) + x 122 + (5 * -1 + 7x * -1) = 7(x + 6) + x 122 + (-5 + -7x) = 7(x + 6) + x Combine like terms: 122 + -5 = 117 117 + -7x = 7(x + 6) + x Reorder the terms: 117 + -7x = 7(6 + x) + x 117 + -7x = (6 * 7 + x * 7) + x 117 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 117 + -7x = 42 + 8x Solving 117 + -7x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 117 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 117 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 117 + -15x = 42 + 0 117 + -15x = 42 Add '-117' to each side of the equation. 117 + -117 + -15x = 42 + -117 Combine like terms: 117 + -117 = 0 0 + -15x = 42 + -117 -15x = 42 + -117 Combine like terms: 42 + -117 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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