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Simplifying (4(x + 1)) + (3(x + 4)) = 180 Reorder the terms: (4(1 + x)) + (3(x + 4)) = 180 ((1 * 4 + x * 4)) + (3(x + 4)) = 180 ((4 + 4x)) + (3(x + 4)) = 180 (4 + 4x) + (3(x + 4)) = 180 Remove parenthesis around (4 + 4x) 4 + 4x + (3(x + 4)) = 180 Reorder the terms: 4 + 4x + (3(4 + x)) = 180 4 + 4x + ((4 * 3 + x * 3)) = 180 4 + 4x + ((12 + 3x)) = 180 4 + 4x + (12 + 3x) = 180 Remove parenthesis around (12 + 3x) 4 + 4x + 12 + 3x = 180 Reorder the terms: 4 + 12 + 4x + 3x = 180 Combine like terms: 4 + 12 = 16 16 + 4x + 3x = 180 Combine like terms: 4x + 3x = 7x 16 + 7x = 180 Solving 16 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 180 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 180 + -16 7x = 180 + -16 Combine like terms: 180 + -16 = 164 7x = 164 Divide each side by '7'. x = 23.42857143 Simplifying x = 23.42857143
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