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Simplifying 6x + -13 + -1(2x + 5) = 14 + -3x Reorder the terms: 6x + -13 + -1(5 + 2x) = 14 + -3x 6x + -13 + (5 * -1 + 2x * -1) = 14 + -3x 6x + -13 + (-5 + -2x) = 14 + -3x Reorder the terms: -13 + -5 + 6x + -2x = 14 + -3x Combine like terms: -13 + -5 = -18 -18 + 6x + -2x = 14 + -3x Combine like terms: 6x + -2x = 4x -18 + 4x = 14 + -3x Solving -18 + 4x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 4x + 3x = 14 + -3x + 3x Combine like terms: 4x + 3x = 7x -18 + 7x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 7x = 14 + 0 -18 + 7x = 14 Add '18' to each side of the equation. -18 + 18 + 7x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 14 + 18 7x = 14 + 18 Combine like terms: 14 + 18 = 32 7x = 32 Divide each side by '7'. x = 4.571428571 Simplifying x = 4.571428571
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