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Simplifying 3(x + -4) + 2 = 7x + -4 + 5x Reorder the terms: 3(-4 + x) + 2 = 7x + -4 + 5x (-4 * 3 + x * 3) + 2 = 7x + -4 + 5x (-12 + 3x) + 2 = 7x + -4 + 5x Reorder the terms: -12 + 2 + 3x = 7x + -4 + 5x Combine like terms: -12 + 2 = -10 -10 + 3x = 7x + -4 + 5x Reorder the terms: -10 + 3x = -4 + 7x + 5x Combine like terms: 7x + 5x = 12x -10 + 3x = -4 + 12x Solving -10 + 3x = -4 + 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. -10 + 3x + -12x = -4 + 12x + -12x Combine like terms: 3x + -12x = -9x -10 + -9x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -9x = -4 + 0 -10 + -9x = -4 Add '10' to each side of the equation. -10 + 10 + -9x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -4 + 10 -9x = -4 + 10 Combine like terms: -4 + 10 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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