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Simplifying 12(3x + 5) + -6(2x + -7) = 4x + -38 Reorder the terms: 12(5 + 3x) + -6(2x + -7) = 4x + -38 (5 * 12 + 3x * 12) + -6(2x + -7) = 4x + -38 (60 + 36x) + -6(2x + -7) = 4x + -38 Reorder the terms: 60 + 36x + -6(-7 + 2x) = 4x + -38 60 + 36x + (-7 * -6 + 2x * -6) = 4x + -38 60 + 36x + (42 + -12x) = 4x + -38 Reorder the terms: 60 + 42 + 36x + -12x = 4x + -38 Combine like terms: 60 + 42 = 102 102 + 36x + -12x = 4x + -38 Combine like terms: 36x + -12x = 24x 102 + 24x = 4x + -38 Reorder the terms: 102 + 24x = -38 + 4x Solving 102 + 24x = -38 + 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. 102 + 24x + -4x = -38 + 4x + -4x Combine like terms: 24x + -4x = 20x 102 + 20x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 102 + 20x = -38 + 0 102 + 20x = -38 Add '-102' to each side of the equation. 102 + -102 + 20x = -38 + -102 Combine like terms: 102 + -102 = 0 0 + 20x = -38 + -102 20x = -38 + -102 Combine like terms: -38 + -102 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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