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Simplifying 7(6 + -2x) = 5(3x + 1) (6 * 7 + -2x * 7) = 5(3x + 1) (42 + -14x) = 5(3x + 1) Reorder the terms: 42 + -14x = 5(1 + 3x) 42 + -14x = (1 * 5 + 3x * 5) 42 + -14x = (5 + 15x) Solving 42 + -14x = 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. 42 + -14x + -15x = 5 + 15x + -15x Combine like terms: -14x + -15x = -29x 42 + -29x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 42 + -29x = 5 + 0 42 + -29x = 5 Add '-42' to each side of the equation. 42 + -42 + -29x = 5 + -42 Combine like terms: 42 + -42 = 0 0 + -29x = 5 + -42 -29x = 5 + -42 Combine like terms: 5 + -42 = -37 -29x = -37 Divide each side by '-29'. x = 1.275862069 Simplifying x = 1.275862069
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