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Simplifying 6x + -1(4x + 2) = 5x + -38 Reorder the terms: 6x + -1(2 + 4x) = 5x + -38 6x + (2 * -1 + 4x * -1) = 5x + -38 6x + (-2 + -4x) = 5x + -38 Reorder the terms: -2 + 6x + -4x = 5x + -38 Combine like terms: 6x + -4x = 2x -2 + 2x = 5x + -38 Reorder the terms: -2 + 2x = -38 + 5x Solving -2 + 2x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 2x + -5x = -38 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = -38 + 0 -2 + -3x = -38 Add '2' to each side of the equation. -2 + 2 + -3x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -38 + 2 -3x = -38 + 2 Combine like terms: -38 + 2 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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