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Simplifying 3(4x + -2) + -4 = 2(x + -4) + 2 Reorder the terms: 3(-2 + 4x) + -4 = 2(x + -4) + 2 (-2 * 3 + 4x * 3) + -4 = 2(x + -4) + 2 (-6 + 12x) + -4 = 2(x + -4) + 2 Reorder the terms: -6 + -4 + 12x = 2(x + -4) + 2 Combine like terms: -6 + -4 = -10 -10 + 12x = 2(x + -4) + 2 Reorder the terms: -10 + 12x = 2(-4 + x) + 2 -10 + 12x = (-4 * 2 + x * 2) + 2 -10 + 12x = (-8 + 2x) + 2 Reorder the terms: -10 + 12x = -8 + 2 + 2x Combine like terms: -8 + 2 = -6 -10 + 12x = -6 + 2x Solving -10 + 12x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 12x + -2x = -6 + 2x + -2x Combine like terms: 12x + -2x = 10x -10 + 10x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 10x = -6 + 0 -10 + 10x = -6 Add '10' to each side of the equation. -10 + 10 + 10x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = -6 + 10 10x = -6 + 10 Combine like terms: -6 + 10 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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