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Simplifying 5(x + 2) + -13 = 2(3x + -1) Reorder the terms: 5(2 + x) + -13 = 2(3x + -1) (2 * 5 + x * 5) + -13 = 2(3x + -1) (10 + 5x) + -13 = 2(3x + -1) Reorder the terms: 10 + -13 + 5x = 2(3x + -1) Combine like terms: 10 + -13 = -3 -3 + 5x = 2(3x + -1) Reorder the terms: -3 + 5x = 2(-1 + 3x) -3 + 5x = (-1 * 2 + 3x * 2) -3 + 5x = (-2 + 6x) Solving -3 + 5x = -2 + 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. -3 + 5x + -6x = -2 + 6x + -6x Combine like terms: 5x + -6x = -1x -3 + -1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -1x = -2 + 0 -3 + -1x = -2 Add '3' to each side of the equation. -3 + 3 + -1x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -2 + 3 -1x = -2 + 3 Combine like terms: -2 + 3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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