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Simplifying 2 + -5(4x + 7) = 2x + 5 + -8x Reorder the terms: 2 + -5(7 + 4x) = 2x + 5 + -8x 2 + (7 * -5 + 4x * -5) = 2x + 5 + -8x 2 + (-35 + -20x) = 2x + 5 + -8x Combine like terms: 2 + -35 = -33 -33 + -20x = 2x + 5 + -8x Reorder the terms: -33 + -20x = 5 + 2x + -8x Combine like terms: 2x + -8x = -6x -33 + -20x = 5 + -6x Solving -33 + -20x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -33 + -20x + 6x = 5 + -6x + 6x Combine like terms: -20x + 6x = -14x -33 + -14x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -33 + -14x = 5 + 0 -33 + -14x = 5 Add '33' to each side of the equation. -33 + 33 + -14x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + -14x = 5 + 33 -14x = 5 + 33 Combine like terms: 5 + 33 = 38 -14x = 38 Divide each side by '-14'. x = -2.714285714 Simplifying x = -2.714285714
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