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Simplifying 2x + -3(2x + -8) = 6(3x + -8) + 7x Reorder the terms: 2x + -3(-8 + 2x) = 6(3x + -8) + 7x 2x + (-8 * -3 + 2x * -3) = 6(3x + -8) + 7x 2x + (24 + -6x) = 6(3x + -8) + 7x Reorder the terms: 24 + 2x + -6x = 6(3x + -8) + 7x Combine like terms: 2x + -6x = -4x 24 + -4x = 6(3x + -8) + 7x Reorder the terms: 24 + -4x = 6(-8 + 3x) + 7x 24 + -4x = (-8 * 6 + 3x * 6) + 7x 24 + -4x = (-48 + 18x) + 7x Combine like terms: 18x + 7x = 25x 24 + -4x = -48 + 25x Solving 24 + -4x = -48 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 24 + -4x + -25x = -48 + 25x + -25x Combine like terms: -4x + -25x = -29x 24 + -29x = -48 + 25x + -25x Combine like terms: 25x + -25x = 0 24 + -29x = -48 + 0 24 + -29x = -48 Add '-24' to each side of the equation. 24 + -24 + -29x = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -29x = -48 + -24 -29x = -48 + -24 Combine like terms: -48 + -24 = -72 -29x = -72 Divide each side by '-29'. x = 2.482758621 Simplifying x = 2.482758621
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