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Simplifying 2(x + -2) + 5x = 3x + 2(x + -5) Reorder the terms: 2(-2 + x) + 5x = 3x + 2(x + -5) (-2 * 2 + x * 2) + 5x = 3x + 2(x + -5) (-4 + 2x) + 5x = 3x + 2(x + -5) Combine like terms: 2x + 5x = 7x -4 + 7x = 3x + 2(x + -5) Reorder the terms: -4 + 7x = 3x + 2(-5 + x) -4 + 7x = 3x + (-5 * 2 + x * 2) -4 + 7x = 3x + (-10 + 2x) Reorder the terms: -4 + 7x = -10 + 3x + 2x Combine like terms: 3x + 2x = 5x -4 + 7x = -10 + 5x Solving -4 + 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. -4 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -4 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 2x = -10 + 0 -4 + 2x = -10 Add '4' to each side of the equation. -4 + 4 + 2x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -10 + 4 2x = -10 + 4 Combine like terms: -10 + 4 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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