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Simplifying 3(3x + 1) + -5x + -1(2x + 5) = 5(x + -4) Reorder the terms: 3(1 + 3x) + -5x + -1(2x + 5) = 5(x + -4) (1 * 3 + 3x * 3) + -5x + -1(2x + 5) = 5(x + -4) (3 + 9x) + -5x + -1(2x + 5) = 5(x + -4) Reorder the terms: 3 + 9x + -5x + -1(5 + 2x) = 5(x + -4) 3 + 9x + -5x + (5 * -1 + 2x * -1) = 5(x + -4) 3 + 9x + -5x + (-5 + -2x) = 5(x + -4) Reorder the terms: 3 + -5 + 9x + -5x + -2x = 5(x + -4) Combine like terms: 3 + -5 = -2 -2 + 9x + -5x + -2x = 5(x + -4) Combine like terms: 9x + -5x = 4x -2 + 4x + -2x = 5(x + -4) Combine like terms: 4x + -2x = 2x -2 + 2x = 5(x + -4) Reorder the terms: -2 + 2x = 5(-4 + x) -2 + 2x = (-4 * 5 + x * 5) -2 + 2x = (-20 + 5x) Solving -2 + 2x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 2x + -5x = -20 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = -20 + 0 -2 + -3x = -20 Add '2' to each side of the equation. -2 + 2 + -3x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -20 + 2 -3x = -20 + 2 Combine like terms: -20 + 2 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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