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Simplifying 48 = 360 + -1(116 + (5x + -147) + 2x) Reorder the terms: 48 = 360 + -1(116 + (-147 + 5x) + 2x) Remove parenthesis around (-147 + 5x) 48 = 360 + -1(116 + -147 + 5x + 2x) Combine like terms: 116 + -147 = -31 48 = 360 + -1(-31 + 5x + 2x) Combine like terms: 5x + 2x = 7x 48 = 360 + -1(-31 + 7x) 48 = 360 + (-31 * -1 + 7x * -1) 48 = 360 + (31 + -7x) Combine like terms: 360 + 31 = 391 48 = 391 + -7x Solving 48 = 391 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 48 + 7x = 391 + -7x + 7x Combine like terms: -7x + 7x = 0 48 + 7x = 391 + 0 48 + 7x = 391 Add '-48' to each side of the equation. 48 + -48 + 7x = 391 + -48 Combine like terms: 48 + -48 = 0 0 + 7x = 391 + -48 7x = 391 + -48 Combine like terms: 391 + -48 = 343 7x = 343 Divide each side by '7'. x = 49 Simplifying x = 49
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