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Simplifying 13x + -2(3 + 5x) = 12 + -11x 13x + (3 * -2 + 5x * -2) = 12 + -11x 13x + (-6 + -10x) = 12 + -11x Reorder the terms: -6 + 13x + -10x = 12 + -11x Combine like terms: 13x + -10x = 3x -6 + 3x = 12 + -11x Solving -6 + 3x = 12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -6 + 3x + 11x = 12 + -11x + 11x Combine like terms: 3x + 11x = 14x -6 + 14x = 12 + -11x + 11x Combine like terms: -11x + 11x = 0 -6 + 14x = 12 + 0 -6 + 14x = 12 Add '6' to each side of the equation. -6 + 6 + 14x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 12 + 6 14x = 12 + 6 Combine like terms: 12 + 6 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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