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Simplifying 2(x + -5) + 4(x + -1) = 6 Reorder the terms: 2(-5 + x) + 4(x + -1) = 6 (-5 * 2 + x * 2) + 4(x + -1) = 6 (-10 + 2x) + 4(x + -1) = 6 Reorder the terms: -10 + 2x + 4(-1 + x) = 6 -10 + 2x + (-1 * 4 + x * 4) = 6 -10 + 2x + (-4 + 4x) = 6 Reorder the terms: -10 + -4 + 2x + 4x = 6 Combine like terms: -10 + -4 = -14 -14 + 2x + 4x = 6 Combine like terms: 2x + 4x = 6x -14 + 6x = 6 Solving -14 + 6x = 6 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 = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 6 + 14 6x = 6 + 14 Combine like terms: 6 + 14 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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