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Simplifying 3(x + -1(3 + -2x) + 5) = 5(x + 4) 3(x + (3 * -1 + -2x * -1) + 5) = 5(x + 4) 3(x + (-3 + 2x) + 5) = 5(x + 4) Reorder the terms: 3(-3 + 5 + x + 2x) = 5(x + 4) Combine like terms: -3 + 5 = 2 3(2 + x + 2x) = 5(x + 4) Combine like terms: x + 2x = 3x 3(2 + 3x) = 5(x + 4) (2 * 3 + 3x * 3) = 5(x + 4) (6 + 9x) = 5(x + 4) Reorder the terms: 6 + 9x = 5(4 + x) 6 + 9x = (4 * 5 + x * 5) 6 + 9x = (20 + 5x) Solving 6 + 9x = 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. 6 + 9x + -5x = 20 + 5x + -5x Combine like terms: 9x + -5x = 4x 6 + 4x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 4x = 20 + 0 6 + 4x = 20 Add '-6' to each side of the equation. 6 + -6 + 4x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 20 + -6 4x = 20 + -6 Combine like terms: 20 + -6 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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