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Simplifying 111 + -1(7x + 16) = 7(x + 5) + x Reorder the terms: 111 + -1(16 + 7x) = 7(x + 5) + x 111 + (16 * -1 + 7x * -1) = 7(x + 5) + x 111 + (-16 + -7x) = 7(x + 5) + x Combine like terms: 111 + -16 = 95 95 + -7x = 7(x + 5) + x Reorder the terms: 95 + -7x = 7(5 + x) + x 95 + -7x = (5 * 7 + x * 7) + x 95 + -7x = (35 + 7x) + x Combine like terms: 7x + x = 8x 95 + -7x = 35 + 8x Solving 95 + -7x = 35 + 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. 95 + -7x + -8x = 35 + 8x + -8x Combine like terms: -7x + -8x = -15x 95 + -15x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 95 + -15x = 35 + 0 95 + -15x = 35 Add '-95' to each side of the equation. 95 + -95 + -15x = 35 + -95 Combine like terms: 95 + -95 = 0 0 + -15x = 35 + -95 -15x = 35 + -95 Combine like terms: 35 + -95 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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