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Simplifying 8x + -1(5x + 8) = 7x + -36 Reorder the terms: 8x + -1(8 + 5x) = 7x + -36 8x + (8 * -1 + 5x * -1) = 7x + -36 8x + (-8 + -5x) = 7x + -36 Reorder the terms: -8 + 8x + -5x = 7x + -36 Combine like terms: 8x + -5x = 3x -8 + 3x = 7x + -36 Reorder the terms: -8 + 3x = -36 + 7x Solving -8 + 3x = -36 + 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. -8 + 3x + -7x = -36 + 7x + -7x Combine like terms: 3x + -7x = -4x -8 + -4x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -4x = -36 + 0 -8 + -4x = -36 Add '8' to each side of the equation. -8 + 8 + -4x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -36 + 8 -4x = -36 + 8 Combine like terms: -36 + 8 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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