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Simplifying 47 = 5x + -2(-3x + 4) Reorder the terms: 47 = 5x + -2(4 + -3x) 47 = 5x + (4 * -2 + -3x * -2) 47 = 5x + (-8 + 6x) Reorder the terms: 47 = -8 + 5x + 6x Combine like terms: 5x + 6x = 11x 47 = -8 + 11x Solving 47 = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 47 + -11x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 47 + -11x = -8 + 0 47 + -11x = -8 Add '-47' to each side of the equation. 47 + -47 + -11x = -8 + -47 Combine like terms: 47 + -47 = 0 0 + -11x = -8 + -47 -11x = -8 + -47 Combine like terms: -8 + -47 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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