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Simplifying -5(2x + 7) = -3 + -6x Reorder the terms: -5(7 + 2x) = -3 + -6x (7 * -5 + 2x * -5) = -3 + -6x (-35 + -10x) = -3 + -6x Solving -35 + -10x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + -10x + 6x = -3 + -6x + 6x Combine like terms: -10x + 6x = -4x -35 + -4x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + -4x = -3 + 0 -35 + -4x = -3 Add '35' to each side of the equation. -35 + 35 + -4x = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -3 + 35 -4x = -3 + 35 Combine like terms: -3 + 35 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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