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Simplifying -3(x + 4) = 3x + -9 + 3(4x + 3) Reorder the terms: -3(4 + x) = 3x + -9 + 3(4x + 3) (4 * -3 + x * -3) = 3x + -9 + 3(4x + 3) (-12 + -3x) = 3x + -9 + 3(4x + 3) Reorder the terms: -12 + -3x = 3x + -9 + 3(3 + 4x) -12 + -3x = 3x + -9 + (3 * 3 + 4x * 3) -12 + -3x = 3x + -9 + (9 + 12x) Reorder the terms: -12 + -3x = -9 + 9 + 3x + 12x Combine like terms: -9 + 9 = 0 -12 + -3x = 0 + 3x + 12x -12 + -3x = 3x + 12x Combine like terms: 3x + 12x = 15x -12 + -3x = 15x Solving -12 + -3x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + -3x + -15x = 15x + -15x Combine like terms: -3x + -15x = -18x -12 + -18x = 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -18x = 0 Add '12' to each side of the equation. -12 + 12 + -18x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = 0 + 12 -18x = 0 + 12 Combine like terms: 0 + 12 = 12 -18x = 12 Divide each side by '-18'. x = -0.6666666667 Simplifying x = -0.6666666667
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