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Simplifying 5(x + -2) + -7(x + 1) = 9(3 + -2x) Reorder the terms: 5(-2 + x) + -7(x + 1) = 9(3 + -2x) (-2 * 5 + x * 5) + -7(x + 1) = 9(3 + -2x) (-10 + 5x) + -7(x + 1) = 9(3 + -2x) Reorder the terms: -10 + 5x + -7(1 + x) = 9(3 + -2x) -10 + 5x + (1 * -7 + x * -7) = 9(3 + -2x) -10 + 5x + (-7 + -7x) = 9(3 + -2x) Reorder the terms: -10 + -7 + 5x + -7x = 9(3 + -2x) Combine like terms: -10 + -7 = -17 -17 + 5x + -7x = 9(3 + -2x) Combine like terms: 5x + -7x = -2x -17 + -2x = 9(3 + -2x) -17 + -2x = (3 * 9 + -2x * 9) -17 + -2x = (27 + -18x) Solving -17 + -2x = 27 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -17 + -2x + 18x = 27 + -18x + 18x Combine like terms: -2x + 18x = 16x -17 + 16x = 27 + -18x + 18x Combine like terms: -18x + 18x = 0 -17 + 16x = 27 + 0 -17 + 16x = 27 Add '17' to each side of the equation. -17 + 17 + 16x = 27 + 17 Combine like terms: -17 + 17 = 0 0 + 16x = 27 + 17 16x = 27 + 17 Combine like terms: 27 + 17 = 44 16x = 44 Divide each side by '16'. x = 2.75 Simplifying x = 2.75
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