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Simplifying -7(7x + 8) + -2(-1x + 4) = -17 Reorder the terms: -7(8 + 7x) + -2(-1x + 4) = -17 (8 * -7 + 7x * -7) + -2(-1x + 4) = -17 (-56 + -49x) + -2(-1x + 4) = -17 Reorder the terms: -56 + -49x + -2(4 + -1x) = -17 -56 + -49x + (4 * -2 + -1x * -2) = -17 -56 + -49x + (-8 + 2x) = -17 Reorder the terms: -56 + -8 + -49x + 2x = -17 Combine like terms: -56 + -8 = -64 -64 + -49x + 2x = -17 Combine like terms: -49x + 2x = -47x -64 + -47x = -17 Solving -64 + -47x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -47x = -17 + 64 Combine like terms: -64 + 64 = 0 0 + -47x = -17 + 64 -47x = -17 + 64 Combine like terms: -17 + 64 = 47 -47x = 47 Divide each side by '-47'. x = -1 Simplifying x = -1
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