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Simplifying 83 + (x + 10) = 180 + -1(3x + 13) Reorder the terms: 83 + (10 + x) = 180 + -1(3x + 13) Remove parenthesis around (10 + x) 83 + 10 + x = 180 + -1(3x + 13) Combine like terms: 83 + 10 = 93 93 + x = 180 + -1(3x + 13) Reorder the terms: 93 + x = 180 + -1(13 + 3x) 93 + x = 180 + (13 * -1 + 3x * -1) 93 + x = 180 + (-13 + -3x) Combine like terms: 180 + -13 = 167 93 + x = 167 + -3x Solving 93 + x = 167 + -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. 93 + x + 3x = 167 + -3x + 3x Combine like terms: x + 3x = 4x 93 + 4x = 167 + -3x + 3x Combine like terms: -3x + 3x = 0 93 + 4x = 167 + 0 93 + 4x = 167 Add '-93' to each side of the equation. 93 + -93 + 4x = 167 + -93 Combine like terms: 93 + -93 = 0 0 + 4x = 167 + -93 4x = 167 + -93 Combine like terms: 167 + -93 = 74 4x = 74 Divide each side by '4'. x = 18.5 Simplifying x = 18.5
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