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Simplifying 3(4x + -1) + -17 = 4(x + -5) Reorder the terms: 3(-1 + 4x) + -17 = 4(x + -5) (-1 * 3 + 4x * 3) + -17 = 4(x + -5) (-3 + 12x) + -17 = 4(x + -5) Reorder the terms: -3 + -17 + 12x = 4(x + -5) Combine like terms: -3 + -17 = -20 -20 + 12x = 4(x + -5) Reorder the terms: -20 + 12x = 4(-5 + x) -20 + 12x = (-5 * 4 + x * 4) -20 + 12x = (-20 + 4x) Add '20' to each side of the equation. -20 + 20 + 12x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 0 + 12x = -20 + 20 + 4x 12x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 12x = 0 + 4x 12x = 4x Solving 12x = 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. 12x + -4x = 4x + -4x Combine like terms: 12x + -4x = 8x 8x = 4x + -4x Combine like terms: 4x + -4x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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