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Simplifying 2(13 + 4x) = 8(9x + -6) (13 * 2 + 4x * 2) = 8(9x + -6) (26 + 8x) = 8(9x + -6) Reorder the terms: 26 + 8x = 8(-6 + 9x) 26 + 8x = (-6 * 8 + 9x * 8) 26 + 8x = (-48 + 72x) Solving 26 + 8x = -48 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 26 + 8x + -72x = -48 + 72x + -72x Combine like terms: 8x + -72x = -64x 26 + -64x = -48 + 72x + -72x Combine like terms: 72x + -72x = 0 26 + -64x = -48 + 0 26 + -64x = -48 Add '-26' to each side of the equation. 26 + -26 + -64x = -48 + -26 Combine like terms: 26 + -26 = 0 0 + -64x = -48 + -26 -64x = -48 + -26 Combine like terms: -48 + -26 = -74 -64x = -74 Divide each side by '-64'. x = 1.15625 Simplifying x = 1.15625
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