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Simplifying 5x + -2(8 + -2x) = 15 + -1(2x + 3) 5x + (8 * -2 + -2x * -2) = 15 + -1(2x + 3) 5x + (-16 + 4x) = 15 + -1(2x + 3) Reorder the terms: -16 + 5x + 4x = 15 + -1(2x + 3) Combine like terms: 5x + 4x = 9x -16 + 9x = 15 + -1(2x + 3) Reorder the terms: -16 + 9x = 15 + -1(3 + 2x) -16 + 9x = 15 + (3 * -1 + 2x * -1) -16 + 9x = 15 + (-3 + -2x) Combine like terms: 15 + -3 = 12 -16 + 9x = 12 + -2x Solving -16 + 9x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 9x + 2x = 12 + -2x + 2x Combine like terms: 9x + 2x = 11x -16 + 11x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 11x = 12 + 0 -16 + 11x = 12 Add '16' to each side of the equation. -16 + 16 + 11x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 12 + 16 11x = 12 + 16 Combine like terms: 12 + 16 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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