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Simplifying 5x + -1(3x + 9) = 6x + -13 Reorder the terms: 5x + -1(9 + 3x) = 6x + -13 5x + (9 * -1 + 3x * -1) = 6x + -13 5x + (-9 + -3x) = 6x + -13 Reorder the terms: -9 + 5x + -3x = 6x + -13 Combine like terms: 5x + -3x = 2x -9 + 2x = 6x + -13 Reorder the terms: -9 + 2x = -13 + 6x Solving -9 + 2x = -13 + 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. -9 + 2x + -6x = -13 + 6x + -6x Combine like terms: 2x + -6x = -4x -9 + -4x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -4x = -13 + 0 -9 + -4x = -13 Add '9' to each side of the equation. -9 + 9 + -4x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -13 + 9 -4x = -13 + 9 Combine like terms: -13 + 9 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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