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Simplifying 4x + -1(2x + 6) + -5 = 2x + (x + 4) + 6 Reorder the terms: 4x + -1(6 + 2x) + -5 = 2x + (x + 4) + 6 4x + (6 * -1 + 2x * -1) + -5 = 2x + (x + 4) + 6 4x + (-6 + -2x) + -5 = 2x + (x + 4) + 6 Reorder the terms: -6 + -5 + 4x + -2x = 2x + (x + 4) + 6 Combine like terms: -6 + -5 = -11 -11 + 4x + -2x = 2x + (x + 4) + 6 Combine like terms: 4x + -2x = 2x -11 + 2x = 2x + (x + 4) + 6 Reorder the terms: -11 + 2x = 2x + (4 + x) + 6 Remove parenthesis around (4 + x) -11 + 2x = 2x + 4 + x + 6 Reorder the terms: -11 + 2x = 4 + 6 + 2x + x Combine like terms: 4 + 6 = 10 -11 + 2x = 10 + 2x + x Combine like terms: 2x + x = 3x -11 + 2x = 10 + 3x Solving -11 + 2x = 10 + 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. -11 + 2x + -3x = 10 + 3x + -3x Combine like terms: 2x + -3x = -1x -11 + -1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -1x = 10 + 0 -11 + -1x = 10 Add '11' to each side of the equation. -11 + 11 + -1x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 10 + 11 -1x = 10 + 11 Combine like terms: 10 + 11 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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