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Simplifying 4(2x + -8) + -3 = 4(x + -5) + 17 Reorder the terms: 4(-8 + 2x) + -3 = 4(x + -5) + 17 (-8 * 4 + 2x * 4) + -3 = 4(x + -5) + 17 (-32 + 8x) + -3 = 4(x + -5) + 17 Reorder the terms: -32 + -3 + 8x = 4(x + -5) + 17 Combine like terms: -32 + -3 = -35 -35 + 8x = 4(x + -5) + 17 Reorder the terms: -35 + 8x = 4(-5 + x) + 17 -35 + 8x = (-5 * 4 + x * 4) + 17 -35 + 8x = (-20 + 4x) + 17 Reorder the terms: -35 + 8x = -20 + 17 + 4x Combine like terms: -20 + 17 = -3 -35 + 8x = -3 + 4x Solving -35 + 8x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 8x + -4x = -3 + 4x + -4x Combine like terms: 8x + -4x = 4x -35 + 4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 4x = -3 + 0 -35 + 4x = -3 Add '35' to each side of the equation. -35 + 35 + 4x = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = -3 + 35 4x = -3 + 35 Combine like terms: -3 + 35 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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