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Simplifying 3x + -1(8x + 7) = 2x + -28 Reorder the terms: 3x + -1(7 + 8x) = 2x + -28 3x + (7 * -1 + 8x * -1) = 2x + -28 3x + (-7 + -8x) = 2x + -28 Reorder the terms: -7 + 3x + -8x = 2x + -28 Combine like terms: 3x + -8x = -5x -7 + -5x = 2x + -28 Reorder the terms: -7 + -5x = -28 + 2x Solving -7 + -5x = -28 + 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. -7 + -5x + -2x = -28 + 2x + -2x Combine like terms: -5x + -2x = -7x -7 + -7x = -28 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -7x = -28 + 0 -7 + -7x = -28 Add '7' to each side of the equation. -7 + 7 + -7x = -28 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -28 + 7 -7x = -28 + 7 Combine like terms: -28 + 7 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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