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Simplifying 7x + 13 + -1 = 4(5x + 7) Reorder the terms: 13 + -1 + 7x = 4(5x + 7) Combine like terms: 13 + -1 = 12 12 + 7x = 4(5x + 7) Reorder the terms: 12 + 7x = 4(7 + 5x) 12 + 7x = (7 * 4 + 5x * 4) 12 + 7x = (28 + 20x) Solving 12 + 7x = 28 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 7x + -20x = 28 + 20x + -20x Combine like terms: 7x + -20x = -13x 12 + -13x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -13x = 28 + 0 12 + -13x = 28 Add '-12' to each side of the equation. 12 + -12 + -13x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 28 + -12 -13x = 28 + -12 Combine like terms: 28 + -12 = 16 -13x = 16 Divide each side by '-13'. x = -1.230769231 Simplifying x = -1.230769231
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