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