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Simplifying 5(19 + -1x) = 3(3x + -1) (19 * 5 + -1x * 5) = 3(3x + -1) (95 + -5x) = 3(3x + -1) Reorder the terms: 95 + -5x = 3(-1 + 3x) 95 + -5x = (-1 * 3 + 3x * 3) 95 + -5x = (-3 + 9x) Solving 95 + -5x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 95 + -5x + -9x = -3 + 9x + -9x Combine like terms: -5x + -9x = -14x 95 + -14x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 95 + -14x = -3 + 0 95 + -14x = -3 Add '-95' to each side of the equation. 95 + -95 + -14x = -3 + -95 Combine like terms: 95 + -95 = 0 0 + -14x = -3 + -95 -14x = -3 + -95 Combine like terms: -3 + -95 = -98 -14x = -98 Divide each side by '-14'. x = 7 Simplifying x = 7
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