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Simplifying (2x + 1) + -2(3x + -7) = 6x + -1(x + 5) Reorder the terms: (1 + 2x) + -2(3x + -7) = 6x + -1(x + 5) Remove parenthesis around (1 + 2x) 1 + 2x + -2(3x + -7) = 6x + -1(x + 5) Reorder the terms: 1 + 2x + -2(-7 + 3x) = 6x + -1(x + 5) 1 + 2x + (-7 * -2 + 3x * -2) = 6x + -1(x + 5) 1 + 2x + (14 + -6x) = 6x + -1(x + 5) Reorder the terms: 1 + 14 + 2x + -6x = 6x + -1(x + 5) Combine like terms: 1 + 14 = 15 15 + 2x + -6x = 6x + -1(x + 5) Combine like terms: 2x + -6x = -4x 15 + -4x = 6x + -1(x + 5) Reorder the terms: 15 + -4x = 6x + -1(5 + x) 15 + -4x = 6x + (5 * -1 + x * -1) 15 + -4x = 6x + (-5 + -1x) Reorder the terms: 15 + -4x = -5 + 6x + -1x Combine like terms: 6x + -1x = 5x 15 + -4x = -5 + 5x Solving 15 + -4x = -5 + 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. 15 + -4x + -5x = -5 + 5x + -5x Combine like terms: -4x + -5x = -9x 15 + -9x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -9x = -5 + 0 15 + -9x = -5 Add '-15' to each side of the equation. 15 + -15 + -9x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -5 + -15 -9x = -5 + -15 Combine like terms: -5 + -15 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222
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