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Simplifying 5x + -1(2x + 4) = 4x + -42 Reorder the terms: 5x + -1(4 + 2x) = 4x + -42 5x + (4 * -1 + 2x * -1) = 4x + -42 5x + (-4 + -2x) = 4x + -42 Reorder the terms: -4 + 5x + -2x = 4x + -42 Combine like terms: 5x + -2x = 3x -4 + 3x = 4x + -42 Reorder the terms: -4 + 3x = -42 + 4x Solving -4 + 3x = -42 + 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. -4 + 3x + -4x = -42 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -42 + 0 -4 + -1x = -42 Add '4' to each side of the equation. -4 + 4 + -1x = -42 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -42 + 4 -1x = -42 + 4 Combine like terms: -42 + 4 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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