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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 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125
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