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Simplifying 3x + -2(6x + -4) = 5x + 10 Reorder the terms: 3x + -2(-4 + 6x) = 5x + 10 3x + (-4 * -2 + 6x * -2) = 5x + 10 3x + (8 + -12x) = 5x + 10 Reorder the terms: 8 + 3x + -12x = 5x + 10 Combine like terms: 3x + -12x = -9x 8 + -9x = 5x + 10 Reorder the terms: 8 + -9x = 10 + 5x Solving 8 + -9x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -9x + -5x = 10 + 5x + -5x Combine like terms: -9x + -5x = -14x 8 + -14x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -14x = 10 + 0 8 + -14x = 10 Add '-8' to each side of the equation. 8 + -8 + -14x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 10 + -8 -14x = 10 + -8 Combine like terms: 10 + -8 = 2 -14x = 2 Divide each side by '-14'. x = -0.1428571429 Simplifying x = -0.1428571429
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