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