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Simplifying -2(x + -5) + 6(2x + -7) = -62 Reorder the terms: -2(-5 + x) + 6(2x + -7) = -62 (-5 * -2 + x * -2) + 6(2x + -7) = -62 (10 + -2x) + 6(2x + -7) = -62 Reorder the terms: 10 + -2x + 6(-7 + 2x) = -62 10 + -2x + (-7 * 6 + 2x * 6) = -62 10 + -2x + (-42 + 12x) = -62 Reorder the terms: 10 + -42 + -2x + 12x = -62 Combine like terms: 10 + -42 = -32 -32 + -2x + 12x = -62 Combine like terms: -2x + 12x = 10x -32 + 10x = -62 Solving -32 + 10x = -62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 10x = -62 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -62 + 32 10x = -62 + 32 Combine like terms: -62 + 32 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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