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Simplifying 5 + -7(x + -6) = 3(2x + 1) Reorder the terms: 5 + -7(-6 + x) = 3(2x + 1) 5 + (-6 * -7 + x * -7) = 3(2x + 1) 5 + (42 + -7x) = 3(2x + 1) Combine like terms: 5 + 42 = 47 47 + -7x = 3(2x + 1) Reorder the terms: 47 + -7x = 3(1 + 2x) 47 + -7x = (1 * 3 + 2x * 3) 47 + -7x = (3 + 6x) Solving 47 + -7x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 47 + -7x + -6x = 3 + 6x + -6x Combine like terms: -7x + -6x = -13x 47 + -13x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + -13x = 3 + 0 47 + -13x = 3 Add '-47' to each side of the equation. 47 + -47 + -13x = 3 + -47 Combine like terms: 47 + -47 = 0 0 + -13x = 3 + -47 -13x = 3 + -47 Combine like terms: 3 + -47 = -44 -13x = -44 Divide each side by '-13'. x = 3.384615385 Simplifying x = 3.384615385
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