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Simplifying 4(2x + 5) = 3(4x + -5) + -17 Reorder the terms: 4(5 + 2x) = 3(4x + -5) + -17 (5 * 4 + 2x * 4) = 3(4x + -5) + -17 (20 + 8x) = 3(4x + -5) + -17 Reorder the terms: 20 + 8x = 3(-5 + 4x) + -17 20 + 8x = (-5 * 3 + 4x * 3) + -17 20 + 8x = (-15 + 12x) + -17 Reorder the terms: 20 + 8x = -15 + -17 + 12x Combine like terms: -15 + -17 = -32 20 + 8x = -32 + 12x Solving 20 + 8x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 8x + -12x = -32 + 12x + -12x Combine like terms: 8x + -12x = -4x 20 + -4x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -4x = -32 + 0 20 + -4x = -32 Add '-20' to each side of the equation. 20 + -20 + -4x = -32 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -32 + -20 -4x = -32 + -20 Combine like terms: -32 + -20 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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