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Simplifying -7(x + -2) = -3(x + -5) Reorder the terms: -7(-2 + x) = -3(x + -5) (-2 * -7 + x * -7) = -3(x + -5) (14 + -7x) = -3(x + -5) Reorder the terms: 14 + -7x = -3(-5 + x) 14 + -7x = (-5 * -3 + x * -3) 14 + -7x = (15 + -3x) Solving 14 + -7x = 15 + -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. 14 + -7x + 3x = 15 + -3x + 3x Combine like terms: -7x + 3x = -4x 14 + -4x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + -4x = 15 + 0 14 + -4x = 15 Add '-14' to each side of the equation. 14 + -14 + -4x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 15 + -14 -4x = 15 + -14 Combine like terms: 15 + -14 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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