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Simplifying 5x + -1(2x + 3) = 5x + -13 Reorder the terms: 5x + -1(3 + 2x) = 5x + -13 5x + (3 * -1 + 2x * -1) = 5x + -13 5x + (-3 + -2x) = 5x + -13 Reorder the terms: -3 + 5x + -2x = 5x + -13 Combine like terms: 5x + -2x = 3x -3 + 3x = 5x + -13 Reorder the terms: -3 + 3x = -13 + 5x Solving -3 + 3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = -13 + 0 -3 + -2x = -13 Add '3' to each side of the equation. -3 + 3 + -2x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -13 + 3 -2x = -13 + 3 Combine like terms: -13 + 3 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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