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Simplifying 5(3x + -6) = 4(10x + 15) Reorder the terms: 5(-6 + 3x) = 4(10x + 15) (-6 * 5 + 3x * 5) = 4(10x + 15) (-30 + 15x) = 4(10x + 15) Reorder the terms: -30 + 15x = 4(15 + 10x) -30 + 15x = (15 * 4 + 10x * 4) -30 + 15x = (60 + 40x) Solving -30 + 15x = 60 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -30 + 15x + -40x = 60 + 40x + -40x Combine like terms: 15x + -40x = -25x -30 + -25x = 60 + 40x + -40x Combine like terms: 40x + -40x = 0 -30 + -25x = 60 + 0 -30 + -25x = 60 Add '30' to each side of the equation. -30 + 30 + -25x = 60 + 30 Combine like terms: -30 + 30 = 0 0 + -25x = 60 + 30 -25x = 60 + 30 Combine like terms: 60 + 30 = 90 -25x = 90 Divide each side by '-25'. x = -3.6 Simplifying x = -3.6
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