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Simplifying 4x + -1(6x + 2) = 2x + -38 Reorder the terms: 4x + -1(2 + 6x) = 2x + -38 4x + (2 * -1 + 6x * -1) = 2x + -38 4x + (-2 + -6x) = 2x + -38 Reorder the terms: -2 + 4x + -6x = 2x + -38 Combine like terms: 4x + -6x = -2x -2 + -2x = 2x + -38 Reorder the terms: -2 + -2x = -38 + 2x Solving -2 + -2x = -38 + 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. -2 + -2x + -2x = -38 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = -38 + 0 -2 + -4x = -38 Add '2' to each side of the equation. -2 + 2 + -4x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -38 + 2 -4x = -38 + 2 Combine like terms: -38 + 2 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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