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Simplifying 3(4x + -7) + 2x + -4 = 10 Reorder the terms: 3(-7 + 4x) + 2x + -4 = 10 (-7 * 3 + 4x * 3) + 2x + -4 = 10 (-21 + 12x) + 2x + -4 = 10 Reorder the terms: -21 + -4 + 12x + 2x = 10 Combine like terms: -21 + -4 = -25 -25 + 12x + 2x = 10 Combine like terms: 12x + 2x = 14x -25 + 14x = 10 Solving -25 + 14x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 14x = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 14x = 10 + 25 14x = 10 + 25 Combine like terms: 10 + 25 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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