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Simplifying 2(x + 3) + -13 = 5x + -11 Reorder the terms: 2(3 + x) + -13 = 5x + -11 (3 * 2 + x * 2) + -13 = 5x + -11 (6 + 2x) + -13 = 5x + -11 Reorder the terms: 6 + -13 + 2x = 5x + -11 Combine like terms: 6 + -13 = -7 -7 + 2x = 5x + -11 Reorder the terms: -7 + 2x = -11 + 5x Solving -7 + 2x = -11 + 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. -7 + 2x + -5x = -11 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = -11 + 0 -7 + -3x = -11 Add '7' to each side of the equation. -7 + 7 + -3x = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -11 + 7 -3x = -11 + 7 Combine like terms: -11 + 7 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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