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Simplifying 9(x + -2) = 7(x + -4) Reorder the terms: 9(-2 + x) = 7(x + -4) (-2 * 9 + x * 9) = 7(x + -4) (-18 + 9x) = 7(x + -4) Reorder the terms: -18 + 9x = 7(-4 + x) -18 + 9x = (-4 * 7 + x * 7) -18 + 9x = (-28 + 7x) Solving -18 + 9x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 9x + -7x = -28 + 7x + -7x Combine like terms: 9x + -7x = 2x -18 + 2x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 2x = -28 + 0 -18 + 2x = -28 Add '18' to each side of the equation. -18 + 18 + 2x = -28 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -28 + 18 2x = -28 + 18 Combine like terms: -28 + 18 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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