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Simplifying -3(12x + 3) = 5(13x + 19) Reorder the terms: -3(3 + 12x) = 5(13x + 19) (3 * -3 + 12x * -3) = 5(13x + 19) (-9 + -36x) = 5(13x + 19) Reorder the terms: -9 + -36x = 5(19 + 13x) -9 + -36x = (19 * 5 + 13x * 5) -9 + -36x = (95 + 65x) Solving -9 + -36x = 95 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. -9 + -36x + -65x = 95 + 65x + -65x Combine like terms: -36x + -65x = -101x -9 + -101x = 95 + 65x + -65x Combine like terms: 65x + -65x = 0 -9 + -101x = 95 + 0 -9 + -101x = 95 Add '9' to each side of the equation. -9 + 9 + -101x = 95 + 9 Combine like terms: -9 + 9 = 0 0 + -101x = 95 + 9 -101x = 95 + 9 Combine like terms: 95 + 9 = 104 -101x = 104 Divide each side by '-101'. x = -1.02970297 Simplifying x = -1.02970297
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