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Simplifying 5x + 2(x + -4) = 5x + -10 Reorder the terms: 5x + 2(-4 + x) = 5x + -10 5x + (-4 * 2 + x * 2) = 5x + -10 5x + (-8 + 2x) = 5x + -10 Reorder the terms: -8 + 5x + 2x = 5x + -10 Combine like terms: 5x + 2x = 7x -8 + 7x = 5x + -10 Reorder the terms: -8 + 7x = -10 + 5x Solving -8 + 7x = -10 + 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. -8 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -8 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 2x = -10 + 0 -8 + 2x = -10 Add '8' to each side of the equation. -8 + 8 + 2x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -10 + 8 2x = -10 + 8 Combine like terms: -10 + 8 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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