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Simplifying 5x + -1(3x + 9) = 3x + -13 Reorder the terms: 5x + -1(9 + 3x) = 3x + -13 5x + (9 * -1 + 3x * -1) = 3x + -13 5x + (-9 + -3x) = 3x + -13 Reorder the terms: -9 + 5x + -3x = 3x + -13 Combine like terms: 5x + -3x = 2x -9 + 2x = 3x + -13 Reorder the terms: -9 + 2x = -13 + 3x Solving -9 + 2x = -13 + 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. -9 + 2x + -3x = -13 + 3x + -3x Combine like terms: 2x + -3x = -1x -9 + -1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -1x = -13 + 0 -9 + -1x = -13 Add '9' to each side of the equation. -9 + 9 + -1x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -13 + 9 -1x = -13 + 9 Combine like terms: -13 + 9 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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