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Simplifying 7(x + -1) + 101 = x + -5(x + 1) Reorder the terms: 7(-1 + x) + 101 = x + -5(x + 1) (-1 * 7 + x * 7) + 101 = x + -5(x + 1) (-7 + 7x) + 101 = x + -5(x + 1) Reorder the terms: -7 + 101 + 7x = x + -5(x + 1) Combine like terms: -7 + 101 = 94 94 + 7x = x + -5(x + 1) Reorder the terms: 94 + 7x = x + -5(1 + x) 94 + 7x = x + (1 * -5 + x * -5) 94 + 7x = x + (-5 + -5x) Reorder the terms: 94 + 7x = -5 + x + -5x Combine like terms: x + -5x = -4x 94 + 7x = -5 + -4x Solving 94 + 7x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 94 + 7x + 4x = -5 + -4x + 4x Combine like terms: 7x + 4x = 11x 94 + 11x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 94 + 11x = -5 + 0 94 + 11x = -5 Add '-94' to each side of the equation. 94 + -94 + 11x = -5 + -94 Combine like terms: 94 + -94 = 0 0 + 11x = -5 + -94 11x = -5 + -94 Combine like terms: -5 + -94 = -99 11x = -99 Divide each side by '11'. x = -9 Simplifying x = -9
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