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Simplifying 4(x + -11) + 2 = 5x + -5 Reorder the terms: 4(-11 + x) + 2 = 5x + -5 (-11 * 4 + x * 4) + 2 = 5x + -5 (-44 + 4x) + 2 = 5x + -5 Reorder the terms: -44 + 2 + 4x = 5x + -5 Combine like terms: -44 + 2 = -42 -42 + 4x = 5x + -5 Reorder the terms: -42 + 4x = -5 + 5x Solving -42 + 4x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 4x + -5x = -5 + 5x + -5x Combine like terms: 4x + -5x = -1x -42 + -1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -1x = -5 + 0 -42 + -1x = -5 Add '42' to each side of the equation. -42 + 42 + -1x = -5 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -5 + 42 -1x = -5 + 42 Combine like terms: -5 + 42 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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