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Simplifying 2(x + 7) + -1 = 5x + -11 Reorder the terms: 2(7 + x) + -1 = 5x + -11 (7 * 2 + x * 2) + -1 = 5x + -11 (14 + 2x) + -1 = 5x + -11 Reorder the terms: 14 + -1 + 2x = 5x + -11 Combine like terms: 14 + -1 = 13 13 + 2x = 5x + -11 Reorder the terms: 13 + 2x = -11 + 5x Solving 13 + 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. 13 + 2x + -5x = -11 + 5x + -5x Combine like terms: 2x + -5x = -3x 13 + -3x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -3x = -11 + 0 13 + -3x = -11 Add '-13' to each side of the equation. 13 + -13 + -3x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -11 + -13 -3x = -11 + -13 Combine like terms: -11 + -13 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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