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Simplifying 2(x + -7) + -1 = 5(3x + 1) Reorder the terms: 2(-7 + x) + -1 = 5(3x + 1) (-7 * 2 + x * 2) + -1 = 5(3x + 1) (-14 + 2x) + -1 = 5(3x + 1) Reorder the terms: -14 + -1 + 2x = 5(3x + 1) Combine like terms: -14 + -1 = -15 -15 + 2x = 5(3x + 1) Reorder the terms: -15 + 2x = 5(1 + 3x) -15 + 2x = (1 * 5 + 3x * 5) -15 + 2x = (5 + 15x) Solving -15 + 2x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15 + 2x + -15x = 5 + 15x + -15x Combine like terms: 2x + -15x = -13x -15 + -13x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -15 + -13x = 5 + 0 -15 + -13x = 5 Add '15' to each side of the equation. -15 + 15 + -13x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = 5 + 15 -13x = 5 + 15 Combine like terms: 5 + 15 = 20 -13x = 20 Divide each side by '-13'. x = -1.538461538 Simplifying x = -1.538461538
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