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Simplifying 8x + -3(5 + -2x) = x + 9 + 2x + -8 8x + (5 * -3 + -2x * -3) = x + 9 + 2x + -8 8x + (-15 + 6x) = x + 9 + 2x + -8 Reorder the terms: -15 + 8x + 6x = x + 9 + 2x + -8 Combine like terms: 8x + 6x = 14x -15 + 14x = x + 9 + 2x + -8 Reorder the terms: -15 + 14x = 9 + -8 + x + 2x Combine like terms: 9 + -8 = 1 -15 + 14x = 1 + x + 2x Combine like terms: x + 2x = 3x -15 + 14x = 1 + 3x Solving -15 + 14x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 14x + -3x = 1 + 3x + -3x Combine like terms: 14x + -3x = 11x -15 + 11x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 11x = 1 + 0 -15 + 11x = 1 Add '15' to each side of the equation. -15 + 15 + 11x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 1 + 15 11x = 1 + 15 Combine like terms: 1 + 15 = 16 11x = 16 Divide each side by '11'. x = 1.454545455 Simplifying x = 1.454545455
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