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Simplifying 2(x + -5) = 6 + -4(x + -4) Reorder the terms: 2(-5 + x) = 6 + -4(x + -4) (-5 * 2 + x * 2) = 6 + -4(x + -4) (-10 + 2x) = 6 + -4(x + -4) Reorder the terms: -10 + 2x = 6 + -4(-4 + x) -10 + 2x = 6 + (-4 * -4 + x * -4) -10 + 2x = 6 + (16 + -4x) Combine like terms: 6 + 16 = 22 -10 + 2x = 22 + -4x Solving -10 + 2x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 2x + 4x = 22 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = 22 + 0 -10 + 6x = 22 Add '10' to each side of the equation. -10 + 10 + 6x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 22 + 10 6x = 22 + 10 Combine like terms: 22 + 10 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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