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Simplifying 2(4x + -3) + -2(x + 4) = 10 + -6 Reorder the terms: 2(-3 + 4x) + -2(x + 4) = 10 + -6 (-3 * 2 + 4x * 2) + -2(x + 4) = 10 + -6 (-6 + 8x) + -2(x + 4) = 10 + -6 Reorder the terms: -6 + 8x + -2(4 + x) = 10 + -6 -6 + 8x + (4 * -2 + x * -2) = 10 + -6 -6 + 8x + (-8 + -2x) = 10 + -6 Reorder the terms: -6 + -8 + 8x + -2x = 10 + -6 Combine like terms: -6 + -8 = -14 -14 + 8x + -2x = 10 + -6 Combine like terms: 8x + -2x = 6x -14 + 6x = 10 + -6 Combine like terms: 10 + -6 = 4 -14 + 6x = 4 Solving -14 + 6x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 4 + 14 6x = 4 + 14 Combine like terms: 4 + 14 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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