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Simplifying 4(3x + -8) + 35 = -5(x + -4) + 12x + -17 Reorder the terms: 4(-8 + 3x) + 35 = -5(x + -4) + 12x + -17 (-8 * 4 + 3x * 4) + 35 = -5(x + -4) + 12x + -17 (-32 + 12x) + 35 = -5(x + -4) + 12x + -17 Reorder the terms: -32 + 35 + 12x = -5(x + -4) + 12x + -17 Combine like terms: -32 + 35 = 3 3 + 12x = -5(x + -4) + 12x + -17 Reorder the terms: 3 + 12x = -5(-4 + x) + 12x + -17 3 + 12x = (-4 * -5 + x * -5) + 12x + -17 3 + 12x = (20 + -5x) + 12x + -17 Reorder the terms: 3 + 12x = 20 + -17 + -5x + 12x Combine like terms: 20 + -17 = 3 3 + 12x = 3 + -5x + 12x Combine like terms: -5x + 12x = 7x 3 + 12x = 3 + 7x Add '-3' to each side of the equation. 3 + -3 + 12x = 3 + -3 + 7x Combine like terms: 3 + -3 = 0 0 + 12x = 3 + -3 + 7x 12x = 3 + -3 + 7x Combine like terms: 3 + -3 = 0 12x = 0 + 7x 12x = 7x Solving 12x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12x + -7x = 7x + -7x Combine like terms: 12x + -7x = 5x 5x = 7x + -7x Combine like terms: 7x + -7x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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