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Simplifying 14x + -26 = 6(x + 1) Reorder the terms: -26 + 14x = 6(x + 1) Reorder the terms: -26 + 14x = 6(1 + x) -26 + 14x = (1 * 6 + x * 6) -26 + 14x = (6 + 6x) Solving -26 + 14x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -26 + 14x + -6x = 6 + 6x + -6x Combine like terms: 14x + -6x = 8x -26 + 8x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -26 + 8x = 6 + 0 -26 + 8x = 6 Add '26' to each side of the equation. -26 + 26 + 8x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 6 + 26 8x = 6 + 26 Combine like terms: 6 + 26 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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