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Simplifying 5(x + -2) + 2x = 9x + -2(3x + -5) Reorder the terms: 5(-2 + x) + 2x = 9x + -2(3x + -5) (-2 * 5 + x * 5) + 2x = 9x + -2(3x + -5) (-10 + 5x) + 2x = 9x + -2(3x + -5) Combine like terms: 5x + 2x = 7x -10 + 7x = 9x + -2(3x + -5) Reorder the terms: -10 + 7x = 9x + -2(-5 + 3x) -10 + 7x = 9x + (-5 * -2 + 3x * -2) -10 + 7x = 9x + (10 + -6x) Reorder the terms: -10 + 7x = 10 + 9x + -6x Combine like terms: 9x + -6x = 3x -10 + 7x = 10 + 3x Solving -10 + 7x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x -10 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 4x = 10 + 0 -10 + 4x = 10 Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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