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Simplifying -123x + 16 + -27x + 297 = 19x + -1(74 + 120) Reorder the terms: 16 + 297 + -123x + -27x = 19x + -1(74 + 120) Combine like terms: 16 + 297 = 313 313 + -123x + -27x = 19x + -1(74 + 120) Combine like terms: -123x + -27x = -150x 313 + -150x = 19x + -1(74 + 120) Combine like terms: 74 + 120 = 194 313 + -150x = 19x + -1(194) Multiply -1 * 194 313 + -150x = 19x + -194 Reorder the terms: 313 + -150x = -194 + 19x Solving 313 + -150x = -194 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 313 + -150x + -19x = -194 + 19x + -19x Combine like terms: -150x + -19x = -169x 313 + -169x = -194 + 19x + -19x Combine like terms: 19x + -19x = 0 313 + -169x = -194 + 0 313 + -169x = -194 Add '-313' to each side of the equation. 313 + -313 + -169x = -194 + -313 Combine like terms: 313 + -313 = 0 0 + -169x = -194 + -313 -169x = -194 + -313 Combine like terms: -194 + -313 = -507 -169x = -507 Divide each side by '-169'. x = 3 Simplifying x = 3
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