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Simplifying 4x + -1(2x + 2) = 3x + -42 Reorder the terms: 4x + -1(2 + 2x) = 3x + -42 4x + (2 * -1 + 2x * -1) = 3x + -42 4x + (-2 + -2x) = 3x + -42 Reorder the terms: -2 + 4x + -2x = 3x + -42 Combine like terms: 4x + -2x = 2x -2 + 2x = 3x + -42 Reorder the terms: -2 + 2x = -42 + 3x Solving -2 + 2x = -42 + 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. -2 + 2x + -3x = -42 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = -42 + 0 -2 + -1x = -42 Add '2' to each side of the equation. -2 + 2 + -1x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -42 + 2 -1x = -42 + 2 Combine like terms: -42 + 2 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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