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Simplifying 5x + -13 = -1(x + 1) Reorder the terms: -13 + 5x = -1(x + 1) Reorder the terms: -13 + 5x = -1(1 + x) -13 + 5x = (1 * -1 + x * -1) -13 + 5x = (-1 + -1x) Solving -13 + 5x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + 5x + x = -1 + -1x + x Combine like terms: 5x + x = 6x -13 + 6x = -1 + -1x + x Combine like terms: -1x + x = 0 -13 + 6x = -1 + 0 -13 + 6x = -1 Add '13' to each side of the equation. -13 + 13 + 6x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = -1 + 13 6x = -1 + 13 Combine like terms: -1 + 13 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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