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Simplifying 4x + -1(7x + 3) = 2x + -38 Reorder the terms: 4x + -1(3 + 7x) = 2x + -38 4x + (3 * -1 + 7x * -1) = 2x + -38 4x + (-3 + -7x) = 2x + -38 Reorder the terms: -3 + 4x + -7x = 2x + -38 Combine like terms: 4x + -7x = -3x -3 + -3x = 2x + -38 Reorder the terms: -3 + -3x = -38 + 2x Solving -3 + -3x = -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. -3 + -3x + -2x = -38 + 2x + -2x Combine like terms: -3x + -2x = -5x -3 + -5x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -5x = -38 + 0 -3 + -5x = -38 Add '3' to each side of the equation. -3 + 3 + -5x = -38 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -38 + 3 -5x = -38 + 3 Combine like terms: -38 + 3 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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