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Simplifying -1(7x + -12) = 2(x + -1) + 104 Reorder the terms: -1(-12 + 7x) = 2(x + -1) + 104 (-12 * -1 + 7x * -1) = 2(x + -1) + 104 (12 + -7x) = 2(x + -1) + 104 Reorder the terms: 12 + -7x = 2(-1 + x) + 104 12 + -7x = (-1 * 2 + x * 2) + 104 12 + -7x = (-2 + 2x) + 104 Reorder the terms: 12 + -7x = -2 + 104 + 2x Combine like terms: -2 + 104 = 102 12 + -7x = 102 + 2x Solving 12 + -7x = 102 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -7x + -2x = 102 + 2x + -2x Combine like terms: -7x + -2x = -9x 12 + -9x = 102 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -9x = 102 + 0 12 + -9x = 102 Add '-12' to each side of the equation. 12 + -12 + -9x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 102 + -12 -9x = 102 + -12 Combine like terms: 102 + -12 = 90 -9x = 90 Divide each side by '-9'. x = -10 Simplifying x = -10
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