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Simplifying 7x + -1(5x + 6) = 3x + -28 Reorder the terms: 7x + -1(6 + 5x) = 3x + -28 7x + (6 * -1 + 5x * -1) = 3x + -28 7x + (-6 + -5x) = 3x + -28 Reorder the terms: -6 + 7x + -5x = 3x + -28 Combine like terms: 7x + -5x = 2x -6 + 2x = 3x + -28 Reorder the terms: -6 + 2x = -28 + 3x Solving -6 + 2x = -28 + 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. -6 + 2x + -3x = -28 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -28 + 0 -6 + -1x = -28 Add '6' to each side of the equation. -6 + 6 + -1x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -28 + 6 -1x = -28 + 6 Combine like terms: -28 + 6 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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