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Simplifying 2x + -4(3x + -2) = 4x + 36 Reorder the terms: 2x + -4(-2 + 3x) = 4x + 36 2x + (-2 * -4 + 3x * -4) = 4x + 36 2x + (8 + -12x) = 4x + 36 Reorder the terms: 8 + 2x + -12x = 4x + 36 Combine like terms: 2x + -12x = -10x 8 + -10x = 4x + 36 Reorder the terms: 8 + -10x = 36 + 4x Solving 8 + -10x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -10x + -4x = 36 + 4x + -4x Combine like terms: -10x + -4x = -14x 8 + -14x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -14x = 36 + 0 8 + -14x = 36 Add '-8' to each side of the equation. 8 + -8 + -14x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 36 + -8 -14x = 36 + -8 Combine like terms: 36 + -8 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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