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Simplifying 17x + -5 = 8(2x + -4) Reorder the terms: -5 + 17x = 8(2x + -4) Reorder the terms: -5 + 17x = 8(-4 + 2x) -5 + 17x = (-4 * 8 + 2x * 8) -5 + 17x = (-32 + 16x) Solving -5 + 17x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -5 + 17x + -16x = -32 + 16x + -16x Combine like terms: 17x + -16x = 1x -5 + 1x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + 1x = -32 + 0 -5 + 1x = -32 Add '5' to each side of the equation. -5 + 5 + 1x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -32 + 5 1x = -32 + 5 Combine like terms: -32 + 5 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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