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Simplifying 6(5x + -8) + -20 = 11(2x + -3) + 3k Reorder the terms: 6(-8 + 5x) + -20 = 11(2x + -3) + 3k (-8 * 6 + 5x * 6) + -20 = 11(2x + -3) + 3k (-48 + 30x) + -20 = 11(2x + -3) + 3k Reorder the terms: -48 + -20 + 30x = 11(2x + -3) + 3k Combine like terms: -48 + -20 = -68 -68 + 30x = 11(2x + -3) + 3k Reorder the terms: -68 + 30x = 11(-3 + 2x) + 3k -68 + 30x = (-3 * 11 + 2x * 11) + 3k -68 + 30x = (-33 + 22x) + 3k Reorder the terms: -68 + 30x = -33 + 3k + 22x Solving -68 + 30x = -33 + 3k + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -68 + 30x + -22x = -33 + 3k + 22x + -22x Combine like terms: 30x + -22x = 8x -68 + 8x = -33 + 3k + 22x + -22x Combine like terms: 22x + -22x = 0 -68 + 8x = -33 + 3k + 0 -68 + 8x = -33 + 3k Add '68' to each side of the equation. -68 + 68 + 8x = -33 + 68 + 3k Combine like terms: -68 + 68 = 0 0 + 8x = -33 + 68 + 3k 8x = -33 + 68 + 3k Combine like terms: -33 + 68 = 35 8x = 35 + 3k Divide each side by '8'. x = 4.375 + 0.375k Simplifying x = 4.375 + 0.375k
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