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Simplifying 4(x + -1) = 3x + 38 Reorder the terms: 4(-1 + x) = 3x + 38 (-1 * 4 + x * 4) = 3x + 38 (-4 + 4x) = 3x + 38 Reorder the terms: -4 + 4x = 38 + 3x Solving -4 + 4x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 4x + -3x = 38 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = 38 + 0 -4 + 1x = 38 Add '4' to each side of the equation. -4 + 4 + 1x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 38 + 4 1x = 38 + 4 Combine like terms: 38 + 4 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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