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Simplifying 5(x + -1) + x = -7(x + -2) + 4 Reorder the terms: 5(-1 + x) + x = -7(x + -2) + 4 (-1 * 5 + x * 5) + x = -7(x + -2) + 4 (-5 + 5x) + x = -7(x + -2) + 4 Combine like terms: 5x + x = 6x -5 + 6x = -7(x + -2) + 4 Reorder the terms: -5 + 6x = -7(-2 + x) + 4 -5 + 6x = (-2 * -7 + x * -7) + 4 -5 + 6x = (14 + -7x) + 4 Reorder the terms: -5 + 6x = 14 + 4 + -7x Combine like terms: 14 + 4 = 18 -5 + 6x = 18 + -7x Solving -5 + 6x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 6x + 7x = 18 + -7x + 7x Combine like terms: 6x + 7x = 13x -5 + 13x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 13x = 18 + 0 -5 + 13x = 18 Add '5' to each side of the equation. -5 + 5 + 13x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 18 + 5 13x = 18 + 5 Combine like terms: 18 + 5 = 23 13x = 23 Divide each side by '13'. x = 1.769230769 Simplifying x = 1.769230769
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