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Simplifying 3(2x + 4) = -2(4x + -13) Reorder the terms: 3(4 + 2x) = -2(4x + -13) (4 * 3 + 2x * 3) = -2(4x + -13) (12 + 6x) = -2(4x + -13) Reorder the terms: 12 + 6x = -2(-13 + 4x) 12 + 6x = (-13 * -2 + 4x * -2) 12 + 6x = (26 + -8x) Solving 12 + 6x = 26 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 6x + 8x = 26 + -8x + 8x Combine like terms: 6x + 8x = 14x 12 + 14x = 26 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 14x = 26 + 0 12 + 14x = 26 Add '-12' to each side of the equation. 12 + -12 + 14x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 26 + -12 14x = 26 + -12 Combine like terms: 26 + -12 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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