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Simplifying 47 = (3x + -38) + (7x + -95) Reorder the terms: 47 = (-38 + 3x) + (7x + -95) Remove parenthesis around (-38 + 3x) 47 = -38 + 3x + (7x + -95) Reorder the terms: 47 = -38 + 3x + (-95 + 7x) Remove parenthesis around (-95 + 7x) 47 = -38 + 3x + -95 + 7x Reorder the terms: 47 = -38 + -95 + 3x + 7x Combine like terms: -38 + -95 = -133 47 = -133 + 3x + 7x Combine like terms: 3x + 7x = 10x 47 = -133 + 10x Solving 47 = -133 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 47 + -10x = -133 + 10x + -10x Combine like terms: 10x + -10x = 0 47 + -10x = -133 + 0 47 + -10x = -133 Add '-47' to each side of the equation. 47 + -47 + -10x = -133 + -47 Combine like terms: 47 + -47 = 0 0 + -10x = -133 + -47 -10x = -133 + -47 Combine like terms: -133 + -47 = -180 -10x = -180 Divide each side by '-10'. x = 18 Simplifying x = 18
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