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Simplifying 4x + 7(-2x + -5) = -39 + -6x Reorder the terms: 4x + 7(-5 + -2x) = -39 + -6x 4x + (-5 * 7 + -2x * 7) = -39 + -6x 4x + (-35 + -14x) = -39 + -6x Reorder the terms: -35 + 4x + -14x = -39 + -6x Combine like terms: 4x + -14x = -10x -35 + -10x = -39 + -6x Solving -35 + -10x = -39 + -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 = -39 + -6x + 6x Combine like terms: -10x + 6x = -4x -35 + -4x = -39 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + -4x = -39 + 0 -35 + -4x = -39 Add '35' to each side of the equation. -35 + 35 + -4x = -39 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -39 + 35 -4x = -39 + 35 Combine like terms: -39 + 35 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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