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Simplifying 101 + -1(7x + 12) = 7(x + 2) + x Reorder the terms: 101 + -1(12 + 7x) = 7(x + 2) + x 101 + (12 * -1 + 7x * -1) = 7(x + 2) + x 101 + (-12 + -7x) = 7(x + 2) + x Combine like terms: 101 + -12 = 89 89 + -7x = 7(x + 2) + x Reorder the terms: 89 + -7x = 7(2 + x) + x 89 + -7x = (2 * 7 + x * 7) + x 89 + -7x = (14 + 7x) + x Combine like terms: 7x + x = 8x 89 + -7x = 14 + 8x Solving 89 + -7x = 14 + 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. 89 + -7x + -8x = 14 + 8x + -8x Combine like terms: -7x + -8x = -15x 89 + -15x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 89 + -15x = 14 + 0 89 + -15x = 14 Add '-89' to each side of the equation. 89 + -89 + -15x = 14 + -89 Combine like terms: 89 + -89 = 0 0 + -15x = 14 + -89 -15x = 14 + -89 Combine like terms: 14 + -89 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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