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Simplifying 5(3x + -4) = 2(4x + 3) + 3x Reorder the terms: 5(-4 + 3x) = 2(4x + 3) + 3x (-4 * 5 + 3x * 5) = 2(4x + 3) + 3x (-20 + 15x) = 2(4x + 3) + 3x Reorder the terms: -20 + 15x = 2(3 + 4x) + 3x -20 + 15x = (3 * 2 + 4x * 2) + 3x -20 + 15x = (6 + 8x) + 3x Combine like terms: 8x + 3x = 11x -20 + 15x = 6 + 11x Solving -20 + 15x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -20 + 15x + -11x = 6 + 11x + -11x Combine like terms: 15x + -11x = 4x -20 + 4x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 -20 + 4x = 6 + 0 -20 + 4x = 6 Add '20' to each side of the equation. -20 + 20 + 4x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 6 + 20 4x = 6 + 20 Combine like terms: 6 + 20 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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