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Simplifying 5(3x + -4) = 3(x + -2) + -11 Reorder the terms: 5(-4 + 3x) = 3(x + -2) + -11 (-4 * 5 + 3x * 5) = 3(x + -2) + -11 (-20 + 15x) = 3(x + -2) + -11 Reorder the terms: -20 + 15x = 3(-2 + x) + -11 -20 + 15x = (-2 * 3 + x * 3) + -11 -20 + 15x = (-6 + 3x) + -11 Reorder the terms: -20 + 15x = -6 + -11 + 3x Combine like terms: -6 + -11 = -17 -20 + 15x = -17 + 3x Solving -20 + 15x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 15x + -3x = -17 + 3x + -3x Combine like terms: 15x + -3x = 12x -20 + 12x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 12x = -17 + 0 -20 + 12x = -17 Add '20' to each side of the equation. -20 + 20 + 12x = -17 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = -17 + 20 12x = -17 + 20 Combine like terms: -17 + 20 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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