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Simplifying -8(4x + -5) = -10 + -7x Reorder the terms: -8(-5 + 4x) = -10 + -7x (-5 * -8 + 4x * -8) = -10 + -7x (40 + -32x) = -10 + -7x Solving 40 + -32x = -10 + -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. 40 + -32x + 7x = -10 + -7x + 7x Combine like terms: -32x + 7x = -25x 40 + -25x = -10 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + -25x = -10 + 0 40 + -25x = -10 Add '-40' to each side of the equation. 40 + -40 + -25x = -10 + -40 Combine like terms: 40 + -40 = 0 0 + -25x = -10 + -40 -25x = -10 + -40 Combine like terms: -10 + -40 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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