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Simplifying 5(3x + -5) = 2(2x + 3) Reorder the terms: 5(-5 + 3x) = 2(2x + 3) (-5 * 5 + 3x * 5) = 2(2x + 3) (-25 + 15x) = 2(2x + 3) Reorder the terms: -25 + 15x = 2(3 + 2x) -25 + 15x = (3 * 2 + 2x * 2) -25 + 15x = (6 + 4x) Solving -25 + 15x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -25 + 15x + -4x = 6 + 4x + -4x Combine like terms: 15x + -4x = 11x -25 + 11x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 11x = 6 + 0 -25 + 11x = 6 Add '25' to each side of the equation. -25 + 25 + 11x = 6 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = 6 + 25 11x = 6 + 25 Combine like terms: 6 + 25 = 31 11x = 31 Divide each side by '11'. x = 2.818181818 Simplifying x = 2.818181818
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