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Simplifying 47 = (7x + -3) + -1(4x + -11) Reorder the terms: 47 = (-3 + 7x) + -1(4x + -11) Remove parenthesis around (-3 + 7x) 47 = -3 + 7x + -1(4x + -11) Reorder the terms: 47 = -3 + 7x + -1(-11 + 4x) 47 = -3 + 7x + (-11 * -1 + 4x * -1) 47 = -3 + 7x + (11 + -4x) Reorder the terms: 47 = -3 + 11 + 7x + -4x Combine like terms: -3 + 11 = 8 47 = 8 + 7x + -4x Combine like terms: 7x + -4x = 3x 47 = 8 + 3x Solving 47 = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 47 + -3x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + -3x = 8 + 0 47 + -3x = 8 Add '-47' to each side of the equation. 47 + -47 + -3x = 8 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = 8 + -47 -3x = 8 + -47 Combine like terms: 8 + -47 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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