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Simplifying 5 + -7(x + -6) = 4x + 14 Reorder the terms: 5 + -7(-6 + x) = 4x + 14 5 + (-6 * -7 + x * -7) = 4x + 14 5 + (42 + -7x) = 4x + 14 Combine like terms: 5 + 42 = 47 47 + -7x = 4x + 14 Reorder the terms: 47 + -7x = 14 + 4x Solving 47 + -7x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 47 + -7x + -4x = 14 + 4x + -4x Combine like terms: -7x + -4x = -11x 47 + -11x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -11x = 14 + 0 47 + -11x = 14 Add '-47' to each side of the equation. 47 + -47 + -11x = 14 + -47 Combine like terms: 47 + -47 = 0 0 + -11x = 14 + -47 -11x = 14 + -47 Combine like terms: 14 + -47 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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