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Simplifying 2(x + -5) = 7x + -2(x + 4) Reorder the terms: 2(-5 + x) = 7x + -2(x + 4) (-5 * 2 + x * 2) = 7x + -2(x + 4) (-10 + 2x) = 7x + -2(x + 4) Reorder the terms: -10 + 2x = 7x + -2(4 + x) -10 + 2x = 7x + (4 * -2 + x * -2) -10 + 2x = 7x + (-8 + -2x) Reorder the terms: -10 + 2x = -8 + 7x + -2x Combine like terms: 7x + -2x = 5x -10 + 2x = -8 + 5x Solving -10 + 2x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 2x + -5x = -8 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -8 + 0 -10 + -3x = -8 Add '10' to each side of the equation. -10 + 10 + -3x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -8 + 10 -3x = -8 + 10 Combine like terms: -8 + 10 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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