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Simplifying -8(-4 + 7x) + 8x = -17 + x (-4 * -8 + 7x * -8) + 8x = -17 + x (32 + -56x) + 8x = -17 + x Combine like terms: -56x + 8x = -48x 32 + -48x = -17 + x Solving 32 + -48x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + -48x + -1x = -17 + x + -1x Combine like terms: -48x + -1x = -49x 32 + -49x = -17 + x + -1x Combine like terms: x + -1x = 0 32 + -49x = -17 + 0 32 + -49x = -17 Add '-32' to each side of the equation. 32 + -32 + -49x = -17 + -32 Combine like terms: 32 + -32 = 0 0 + -49x = -17 + -32 -49x = -17 + -32 Combine like terms: -17 + -32 = -49 -49x = -49 Divide each side by '-49'. x = 1 Simplifying x = 1
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