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Simplifying 4x + -1(12x + 15) = 3(x + -6) Reorder the terms: 4x + -1(15 + 12x) = 3(x + -6) 4x + (15 * -1 + 12x * -1) = 3(x + -6) 4x + (-15 + -12x) = 3(x + -6) Reorder the terms: -15 + 4x + -12x = 3(x + -6) Combine like terms: 4x + -12x = -8x -15 + -8x = 3(x + -6) Reorder the terms: -15 + -8x = 3(-6 + x) -15 + -8x = (-6 * 3 + x * 3) -15 + -8x = (-18 + 3x) Solving -15 + -8x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + -8x + -3x = -18 + 3x + -3x Combine like terms: -8x + -3x = -11x -15 + -11x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -11x = -18 + 0 -15 + -11x = -18 Add '15' to each side of the equation. -15 + 15 + -11x = -18 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = -18 + 15 -11x = -18 + 15 Combine like terms: -18 + 15 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727
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