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