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Simplifying 2(x + -5) = 2 + -4(x + 2) Reorder the terms: 2(-5 + x) = 2 + -4(x + 2) (-5 * 2 + x * 2) = 2 + -4(x + 2) (-10 + 2x) = 2 + -4(x + 2) Reorder the terms: -10 + 2x = 2 + -4(2 + x) -10 + 2x = 2 + (2 * -4 + x * -4) -10 + 2x = 2 + (-8 + -4x) Combine like terms: 2 + -8 = -6 -10 + 2x = -6 + -4x Solving -10 + 2x = -6 + -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 = -6 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = -6 + 0 -10 + 6x = -6 Add '10' to each side of the equation. -10 + 10 + 6x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -6 + 10 6x = -6 + 10 Combine like terms: -6 + 10 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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