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Simplifying 4x + -1(5 + -2x) = 28 + -1(2x + -1) 4x + (5 * -1 + -2x * -1) = 28 + -1(2x + -1) 4x + (-5 + 2x) = 28 + -1(2x + -1) Reorder the terms: -5 + 4x + 2x = 28 + -1(2x + -1) Combine like terms: 4x + 2x = 6x -5 + 6x = 28 + -1(2x + -1) Reorder the terms: -5 + 6x = 28 + -1(-1 + 2x) -5 + 6x = 28 + (-1 * -1 + 2x * -1) -5 + 6x = 28 + (1 + -2x) Combine like terms: 28 + 1 = 29 -5 + 6x = 29 + -2x Solving -5 + 6x = 29 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 6x + 2x = 29 + -2x + 2x Combine like terms: 6x + 2x = 8x -5 + 8x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 8x = 29 + 0 -5 + 8x = 29 Add '5' to each side of the equation. -5 + 5 + 8x = 29 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 29 + 5 8x = 29 + 5 Combine like terms: 29 + 5 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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