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