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Simplifying 15(2x + -26) = 6(3x + -24) Reorder the terms: 15(-26 + 2x) = 6(3x + -24) (-26 * 15 + 2x * 15) = 6(3x + -24) (-390 + 30x) = 6(3x + -24) Reorder the terms: -390 + 30x = 6(-24 + 3x) -390 + 30x = (-24 * 6 + 3x * 6) -390 + 30x = (-144 + 18x) Solving -390 + 30x = -144 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -390 + 30x + -18x = -144 + 18x + -18x Combine like terms: 30x + -18x = 12x -390 + 12x = -144 + 18x + -18x Combine like terms: 18x + -18x = 0 -390 + 12x = -144 + 0 -390 + 12x = -144 Add '390' to each side of the equation. -390 + 390 + 12x = -144 + 390 Combine like terms: -390 + 390 = 0 0 + 12x = -144 + 390 12x = -144 + 390 Combine like terms: -144 + 390 = 246 12x = 246 Divide each side by '12'. x = 20.5 Simplifying x = 20.5
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