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Simplifying 5(3x + 10) = 3(4x + -20) Reorder the terms: 5(10 + 3x) = 3(4x + -20) (10 * 5 + 3x * 5) = 3(4x + -20) (50 + 15x) = 3(4x + -20) Reorder the terms: 50 + 15x = 3(-20 + 4x) 50 + 15x = (-20 * 3 + 4x * 3) 50 + 15x = (-60 + 12x) Solving 50 + 15x = -60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 50 + 15x + -12x = -60 + 12x + -12x Combine like terms: 15x + -12x = 3x 50 + 3x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 50 + 3x = -60 + 0 50 + 3x = -60 Add '-50' to each side of the equation. 50 + -50 + 3x = -60 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = -60 + -50 3x = -60 + -50 Combine like terms: -60 + -50 = -110 3x = -110 Divide each side by '3'. x = -36.66666667 Simplifying x = -36.66666667
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