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Simplifying 6x + -7(4x + 2) = 28 + -8x Reorder the terms: 6x + -7(2 + 4x) = 28 + -8x 6x + (2 * -7 + 4x * -7) = 28 + -8x 6x + (-14 + -28x) = 28 + -8x Reorder the terms: -14 + 6x + -28x = 28 + -8x Combine like terms: 6x + -28x = -22x -14 + -22x = 28 + -8x Solving -14 + -22x = 28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -14 + -22x + 8x = 28 + -8x + 8x Combine like terms: -22x + 8x = -14x -14 + -14x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + -14x = 28 + 0 -14 + -14x = 28 Add '14' to each side of the equation. -14 + 14 + -14x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -14x = 28 + 14 -14x = 28 + 14 Combine like terms: 28 + 14 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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