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Simplifying 7x + -6(4 + -3x) = 170 + -12x 7x + (4 * -6 + -3x * -6) = 170 + -12x 7x + (-24 + 18x) = 170 + -12x Reorder the terms: -24 + 7x + 18x = 170 + -12x Combine like terms: 7x + 18x = 25x -24 + 25x = 170 + -12x Solving -24 + 25x = 170 + -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. -24 + 25x + 12x = 170 + -12x + 12x Combine like terms: 25x + 12x = 37x -24 + 37x = 170 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 37x = 170 + 0 -24 + 37x = 170 Add '24' to each side of the equation. -24 + 24 + 37x = 170 + 24 Combine like terms: -24 + 24 = 0 0 + 37x = 170 + 24 37x = 170 + 24 Combine like terms: 170 + 24 = 194 37x = 194 Divide each side by '37'. x = 5.243243243 Simplifying x = 5.243243243
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