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Simplifying 7(2x + 1) + -1 = 5(3x + 2) Reorder the terms: 7(1 + 2x) + -1 = 5(3x + 2) (1 * 7 + 2x * 7) + -1 = 5(3x + 2) (7 + 14x) + -1 = 5(3x + 2) Reorder the terms: 7 + -1 + 14x = 5(3x + 2) Combine like terms: 7 + -1 = 6 6 + 14x = 5(3x + 2) Reorder the terms: 6 + 14x = 5(2 + 3x) 6 + 14x = (2 * 5 + 3x * 5) 6 + 14x = (10 + 15x) Solving 6 + 14x = 10 + 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. 6 + 14x + -15x = 10 + 15x + -15x Combine like terms: 14x + -15x = -1x 6 + -1x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -1x = 10 + 0 6 + -1x = 10 Add '-6' to each side of the equation. 6 + -6 + -1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 10 + -6 -1x = 10 + -6 Combine like terms: 10 + -6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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