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Simplifying 2(13 + 3x) = 18x + 10 + -4x (13 * 2 + 3x * 2) = 18x + 10 + -4x (26 + 6x) = 18x + 10 + -4x Reorder the terms: 26 + 6x = 10 + 18x + -4x Combine like terms: 18x + -4x = 14x 26 + 6x = 10 + 14x Solving 26 + 6x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 26 + 6x + -14x = 10 + 14x + -14x Combine like terms: 6x + -14x = -8x 26 + -8x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 26 + -8x = 10 + 0 26 + -8x = 10 Add '-26' to each side of the equation. 26 + -26 + -8x = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 10 + -26 -8x = 10 + -26 Combine like terms: 10 + -26 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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