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Simplifying 5(x + -2) + x + -1(4x + -7) = 9 Reorder the terms: 5(-2 + x) + x + -1(4x + -7) = 9 (-2 * 5 + x * 5) + x + -1(4x + -7) = 9 (-10 + 5x) + x + -1(4x + -7) = 9 Reorder the terms: -10 + 5x + x + -1(-7 + 4x) = 9 -10 + 5x + x + (-7 * -1 + 4x * -1) = 9 -10 + 5x + x + (7 + -4x) = 9 Reorder the terms: -10 + 7 + 5x + x + -4x = 9 Combine like terms: -10 + 7 = -3 -3 + 5x + x + -4x = 9 Combine like terms: 5x + x = 6x -3 + 6x + -4x = 9 Combine like terms: 6x + -4x = 2x -3 + 2x = 9 Solving -3 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 9 + 3 2x = 9 + 3 Combine like terms: 9 + 3 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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