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Simplifying 12(10x + -1) + 5 = -19(5x + -1) Reorder the terms: 12(-1 + 10x) + 5 = -19(5x + -1) (-1 * 12 + 10x * 12) + 5 = -19(5x + -1) (-12 + 120x) + 5 = -19(5x + -1) Reorder the terms: -12 + 5 + 120x = -19(5x + -1) Combine like terms: -12 + 5 = -7 -7 + 120x = -19(5x + -1) Reorder the terms: -7 + 120x = -19(-1 + 5x) -7 + 120x = (-1 * -19 + 5x * -19) -7 + 120x = (19 + -95x) Solving -7 + 120x = 19 + -95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '95x' to each side of the equation. -7 + 120x + 95x = 19 + -95x + 95x Combine like terms: 120x + 95x = 215x -7 + 215x = 19 + -95x + 95x Combine like terms: -95x + 95x = 0 -7 + 215x = 19 + 0 -7 + 215x = 19 Add '7' to each side of the equation. -7 + 7 + 215x = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 215x = 19 + 7 215x = 19 + 7 Combine like terms: 19 + 7 = 26 215x = 26 Divide each side by '215'. x = 0.1209302326 Simplifying x = 0.1209302326
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