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Simplifying 5(1 + 2x) + 4(-7x + -2) = -39 (1 * 5 + 2x * 5) + 4(-7x + -2) = -39 (5 + 10x) + 4(-7x + -2) = -39 Reorder the terms: 5 + 10x + 4(-2 + -7x) = -39 5 + 10x + (-2 * 4 + -7x * 4) = -39 5 + 10x + (-8 + -28x) = -39 Reorder the terms: 5 + -8 + 10x + -28x = -39 Combine like terms: 5 + -8 = -3 -3 + 10x + -28x = -39 Combine like terms: 10x + -28x = -18x -3 + -18x = -39 Solving -3 + -18x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -18x = -39 + 3 Combine like terms: -3 + 3 = 0 0 + -18x = -39 + 3 -18x = -39 + 3 Combine like terms: -39 + 3 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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