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Simplifying 4(6x + -1) + 5 = -12(3x + -1) Reorder the terms: 4(-1 + 6x) + 5 = -12(3x + -1) (-1 * 4 + 6x * 4) + 5 = -12(3x + -1) (-4 + 24x) + 5 = -12(3x + -1) Reorder the terms: -4 + 5 + 24x = -12(3x + -1) Combine like terms: -4 + 5 = 1 1 + 24x = -12(3x + -1) Reorder the terms: 1 + 24x = -12(-1 + 3x) 1 + 24x = (-1 * -12 + 3x * -12) 1 + 24x = (12 + -36x) Solving 1 + 24x = 12 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 1 + 24x + 36x = 12 + -36x + 36x Combine like terms: 24x + 36x = 60x 1 + 60x = 12 + -36x + 36x Combine like terms: -36x + 36x = 0 1 + 60x = 12 + 0 1 + 60x = 12 Add '-1' to each side of the equation. 1 + -1 + 60x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 60x = 12 + -1 60x = 12 + -1 Combine like terms: 12 + -1 = 11 60x = 11 Divide each side by '60'. x = 0.1833333333 Simplifying x = 0.1833333333
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