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Simplifying -4(x + 3) = 4x + -6 + 4(2x + 3) Reorder the terms: -4(3 + x) = 4x + -6 + 4(2x + 3) (3 * -4 + x * -4) = 4x + -6 + 4(2x + 3) (-12 + -4x) = 4x + -6 + 4(2x + 3) Reorder the terms: -12 + -4x = 4x + -6 + 4(3 + 2x) -12 + -4x = 4x + -6 + (3 * 4 + 2x * 4) -12 + -4x = 4x + -6 + (12 + 8x) Reorder the terms: -12 + -4x = -6 + 12 + 4x + 8x Combine like terms: -6 + 12 = 6 -12 + -4x = 6 + 4x + 8x Combine like terms: 4x + 8x = 12x -12 + -4x = 6 + 12x Solving -12 + -4x = 6 + 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 = 6 + 12x + -12x Combine like terms: -4x + -12x = -16x -12 + -16x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -16x = 6 + 0 -12 + -16x = 6 Add '12' to each side of the equation. -12 + 12 + -16x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 6 + 12 -16x = 6 + 12 Combine like terms: 6 + 12 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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