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Simplifying 157 + -1(7x + 11) = 7(x + 8) + x Reorder the terms: 157 + -1(11 + 7x) = 7(x + 8) + x 157 + (11 * -1 + 7x * -1) = 7(x + 8) + x 157 + (-11 + -7x) = 7(x + 8) + x Combine like terms: 157 + -11 = 146 146 + -7x = 7(x + 8) + x Reorder the terms: 146 + -7x = 7(8 + x) + x 146 + -7x = (8 * 7 + x * 7) + x 146 + -7x = (56 + 7x) + x Combine like terms: 7x + x = 8x 146 + -7x = 56 + 8x Solving 146 + -7x = 56 + 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. 146 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x 146 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 146 + -15x = 56 + 0 146 + -15x = 56 Add '-146' to each side of the equation. 146 + -146 + -15x = 56 + -146 Combine like terms: 146 + -146 = 0 0 + -15x = 56 + -146 -15x = 56 + -146 Combine like terms: 56 + -146 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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