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Simplifying 5(x + -2) = 9x + -3(2x + -4) Reorder the terms: 5(-2 + x) = 9x + -3(2x + -4) (-2 * 5 + x * 5) = 9x + -3(2x + -4) (-10 + 5x) = 9x + -3(2x + -4) Reorder the terms: -10 + 5x = 9x + -3(-4 + 2x) -10 + 5x = 9x + (-4 * -3 + 2x * -3) -10 + 5x = 9x + (12 + -6x) Reorder the terms: -10 + 5x = 12 + 9x + -6x Combine like terms: 9x + -6x = 3x -10 + 5x = 12 + 3x Solving -10 + 5x = 12 + 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 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 12 + 0 -10 + 2x = 12 Add '10' to each side of the equation. -10 + 10 + 2x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 12 + 10 2x = 12 + 10 Combine like terms: 12 + 10 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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