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Simplifying -3(x + 4) = 2x + -5 + 2(2x + 4) Reorder the terms: -3(4 + x) = 2x + -5 + 2(2x + 4) (4 * -3 + x * -3) = 2x + -5 + 2(2x + 4) (-12 + -3x) = 2x + -5 + 2(2x + 4) Reorder the terms: -12 + -3x = 2x + -5 + 2(4 + 2x) -12 + -3x = 2x + -5 + (4 * 2 + 2x * 2) -12 + -3x = 2x + -5 + (8 + 4x) Reorder the terms: -12 + -3x = -5 + 8 + 2x + 4x Combine like terms: -5 + 8 = 3 -12 + -3x = 3 + 2x + 4x Combine like terms: 2x + 4x = 6x -12 + -3x = 3 + 6x Solving -12 + -3x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -3x + -6x = 3 + 6x + -6x Combine like terms: -3x + -6x = -9x -12 + -9x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -9x = 3 + 0 -12 + -9x = 3 Add '12' to each side of the equation. -12 + 12 + -9x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 3 + 12 -9x = 3 + 12 Combine like terms: 3 + 12 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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