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Simplifying -4(x + 3) = 2(6x + -1) + 9 Reorder the terms: -4(3 + x) = 2(6x + -1) + 9 (3 * -4 + x * -4) = 2(6x + -1) + 9 (-12 + -4x) = 2(6x + -1) + 9 Reorder the terms: -12 + -4x = 2(-1 + 6x) + 9 -12 + -4x = (-1 * 2 + 6x * 2) + 9 -12 + -4x = (-2 + 12x) + 9 Reorder the terms: -12 + -4x = -2 + 9 + 12x Combine like terms: -2 + 9 = 7 -12 + -4x = 7 + 12x Solving -12 + -4x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + -4x + -12x = 7 + 12x + -12x Combine like terms: -4x + -12x = -16x -12 + -16x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -16x = 7 + 0 -12 + -16x = 7 Add '12' to each side of the equation. -12 + 12 + -16x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 7 + 12 -16x = 7 + 12 Combine like terms: 7 + 12 = 19 -16x = 19 Divide each side by '-16'. x = -1.1875 Simplifying x = -1.1875
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