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Simplifying 3(4x + -1.7) = 7x + -5.1 Reorder the terms: 3(-1.7 + 4x) = 7x + -5.1 (-1.7 * 3 + 4x * 3) = 7x + -5.1 (-5.1 + 12x) = 7x + -5.1 Reorder the terms: -5.1 + 12x = -5.1 + 7x Add '5.1' to each side of the equation. -5.1 + 5.1 + 12x = -5.1 + 5.1 + 7x Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 12x = -5.1 + 5.1 + 7x 12x = -5.1 + 5.1 + 7x Combine like terms: -5.1 + 5.1 = 0.0 12x = 0.0 + 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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