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Simplifying x + (4x + -15) + 4(40 + -1x) = 180 Reorder the terms: x + (-15 + 4x) + 4(40 + -1x) = 180 Remove parenthesis around (-15 + 4x) x + -15 + 4x + 4(40 + -1x) = 180 x + -15 + 4x + (40 * 4 + -1x * 4) = 180 x + -15 + 4x + (160 + -4x) = 180 Reorder the terms: -15 + 160 + x + 4x + -4x = 180 Combine like terms: -15 + 160 = 145 145 + x + 4x + -4x = 180 Combine like terms: x + 4x = 5x 145 + 5x + -4x = 180 Combine like terms: 5x + -4x = 1x 145 + 1x = 180 Solving 145 + 1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + 1x = 180 + -145 Combine like terms: 145 + -145 = 0 0 + 1x = 180 + -145 1x = 180 + -145 Combine like terms: 180 + -145 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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