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Simplifying 116 + -1(7x + 12) = 7(x + 2) + x Reorder the terms: 116 + -1(12 + 7x) = 7(x + 2) + x 116 + (12 * -1 + 7x * -1) = 7(x + 2) + x 116 + (-12 + -7x) = 7(x + 2) + x Combine like terms: 116 + -12 = 104 104 + -7x = 7(x + 2) + x Reorder the terms: 104 + -7x = 7(2 + x) + x 104 + -7x = (2 * 7 + x * 7) + x 104 + -7x = (14 + 7x) + x Combine like terms: 7x + x = 8x 104 + -7x = 14 + 8x Solving 104 + -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. 104 + -7x + -8x = 14 + 8x + -8x Combine like terms: -7x + -8x = -15x 104 + -15x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 104 + -15x = 14 + 0 104 + -15x = 14 Add '-104' to each side of the equation. 104 + -104 + -15x = 14 + -104 Combine like terms: 104 + -104 = 0 0 + -15x = 14 + -104 -15x = 14 + -104 Combine like terms: 14 + -104 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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