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Simplifying -5(7 + -8x) + 7 = 36 + 8x (7 * -5 + -8x * -5) + 7 = 36 + 8x (-35 + 40x) + 7 = 36 + 8x Reorder the terms: -35 + 7 + 40x = 36 + 8x Combine like terms: -35 + 7 = -28 -28 + 40x = 36 + 8x Solving -28 + 40x = 36 + 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. -28 + 40x + -8x = 36 + 8x + -8x Combine like terms: 40x + -8x = 32x -28 + 32x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + 32x = 36 + 0 -28 + 32x = 36 Add '28' to each side of the equation. -28 + 28 + 32x = 36 + 28 Combine like terms: -28 + 28 = 0 0 + 32x = 36 + 28 32x = 36 + 28 Combine like terms: 36 + 28 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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