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Simplifying -5(7 + 8x) = 39 + -3x (7 * -5 + 8x * -5) = 39 + -3x (-35 + -40x) = 39 + -3x Solving -35 + -40x = 39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -35 + -40x + 3x = 39 + -3x + 3x Combine like terms: -40x + 3x = -37x -35 + -37x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + -37x = 39 + 0 -35 + -37x = 39 Add '35' to each side of the equation. -35 + 35 + -37x = 39 + 35 Combine like terms: -35 + 35 = 0 0 + -37x = 39 + 35 -37x = 39 + 35 Combine like terms: 39 + 35 = 74 -37x = 74 Divide each side by '-37'. x = -2 Simplifying x = -2
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