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Simplifying 8x + -1(3x + 5) = 7x + -15 Reorder the terms: 8x + -1(5 + 3x) = 7x + -15 8x + (5 * -1 + 3x * -1) = 7x + -15 8x + (-5 + -3x) = 7x + -15 Reorder the terms: -5 + 8x + -3x = 7x + -15 Combine like terms: 8x + -3x = 5x -5 + 5x = 7x + -15 Reorder the terms: -5 + 5x = -15 + 7x Solving -5 + 5x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 5x + -7x = -15 + 7x + -7x Combine like terms: 5x + -7x = -2x -5 + -2x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -2x = -15 + 0 -5 + -2x = -15 Add '5' to each side of the equation. -5 + 5 + -2x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -15 + 5 -2x = -15 + 5 Combine like terms: -15 + 5 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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