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Simplifying 8x + -1(4x + 6) = 5x + -15 Reorder the terms: 8x + -1(6 + 4x) = 5x + -15 8x + (6 * -1 + 4x * -1) = 5x + -15 8x + (-6 + -4x) = 5x + -15 Reorder the terms: -6 + 8x + -4x = 5x + -15 Combine like terms: 8x + -4x = 4x -6 + 4x = 5x + -15 Reorder the terms: -6 + 4x = -15 + 5x Solving -6 + 4x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 4x + -5x = -15 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = -15 + 0 -6 + -1x = -15 Add '6' to each side of the equation. -6 + 6 + -1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -15 + 6 -1x = -15 + 6 Combine like terms: -15 + 6 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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