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Simplifying 2(3x + -1) = 12.53(3x + 30) + -10x Reorder the terms: 2(-1 + 3x) = 12.53(3x + 30) + -10x (-1 * 2 + 3x * 2) = 12.53(3x + 30) + -10x (-2 + 6x) = 12.53(3x + 30) + -10x Reorder the terms: -2 + 6x = 12.53(30 + 3x) + -10x -2 + 6x = (30 * 12.53 + 3x * 12.53) + -10x -2 + 6x = (375.9 + 37.59x) + -10x Combine like terms: 37.59x + -10x = 27.59x -2 + 6x = 375.9 + 27.59x Solving -2 + 6x = 375.9 + 27.59x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27.59x' to each side of the equation. -2 + 6x + -27.59x = 375.9 + 27.59x + -27.59x Combine like terms: 6x + -27.59x = -21.59x -2 + -21.59x = 375.9 + 27.59x + -27.59x Combine like terms: 27.59x + -27.59x = 0.00 -2 + -21.59x = 375.9 + 0.00 -2 + -21.59x = 375.9 Add '2' to each side of the equation. -2 + 2 + -21.59x = 375.9 + 2 Combine like terms: -2 + 2 = 0 0 + -21.59x = 375.9 + 2 -21.59x = 375.9 + 2 Combine like terms: 375.9 + 2 = 377.9 -21.59x = 377.9 Divide each side by '-21.59'. x = -17.50347383 Simplifying x = -17.50347383
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