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Simplifying 8(-3 + -7x) + -2(5x + 3) = 36 (-3 * 8 + -7x * 8) + -2(5x + 3) = 36 (-24 + -56x) + -2(5x + 3) = 36 Reorder the terms: -24 + -56x + -2(3 + 5x) = 36 -24 + -56x + (3 * -2 + 5x * -2) = 36 -24 + -56x + (-6 + -10x) = 36 Reorder the terms: -24 + -6 + -56x + -10x = 36 Combine like terms: -24 + -6 = -30 -30 + -56x + -10x = 36 Combine like terms: -56x + -10x = -66x -30 + -66x = 36 Solving -30 + -66x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -66x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -66x = 36 + 30 -66x = 36 + 30 Combine like terms: 36 + 30 = 66 -66x = 66 Divide each side by '-66'. x = -1 Simplifying x = -1
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