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Simplifying 179 + -1(7x + 11) = 7(x + 9) + x Reorder the terms: 179 + -1(11 + 7x) = 7(x + 9) + x 179 + (11 * -1 + 7x * -1) = 7(x + 9) + x 179 + (-11 + -7x) = 7(x + 9) + x Combine like terms: 179 + -11 = 168 168 + -7x = 7(x + 9) + x Reorder the terms: 168 + -7x = 7(9 + x) + x 168 + -7x = (9 * 7 + x * 7) + x 168 + -7x = (63 + 7x) + x Combine like terms: 7x + x = 8x 168 + -7x = 63 + 8x Solving 168 + -7x = 63 + 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. 168 + -7x + -8x = 63 + 8x + -8x Combine like terms: -7x + -8x = -15x 168 + -15x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 168 + -15x = 63 + 0 168 + -15x = 63 Add '-168' to each side of the equation. 168 + -168 + -15x = 63 + -168 Combine like terms: 168 + -168 = 0 0 + -15x = 63 + -168 -15x = 63 + -168 Combine like terms: 63 + -168 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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