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Simplifying 3(1 + -3x) + -7(8 + 7x) = 5 (1 * 3 + -3x * 3) + -7(8 + 7x) = 5 (3 + -9x) + -7(8 + 7x) = 5 3 + -9x + (8 * -7 + 7x * -7) = 5 3 + -9x + (-56 + -49x) = 5 Reorder the terms: 3 + -56 + -9x + -49x = 5 Combine like terms: 3 + -56 = -53 -53 + -9x + -49x = 5 Combine like terms: -9x + -49x = -58x -53 + -58x = 5 Solving -53 + -58x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -58x = 5 + 53 Combine like terms: -53 + 53 = 0 0 + -58x = 5 + 53 -58x = 5 + 53 Combine like terms: 5 + 53 = 58 -58x = 58 Divide each side by '-58'. x = -1 Simplifying x = -1
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