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Simplifying 9(2x + -4) = 2(7x + 8) Reorder the terms: 9(-4 + 2x) = 2(7x + 8) (-4 * 9 + 2x * 9) = 2(7x + 8) (-36 + 18x) = 2(7x + 8) Reorder the terms: -36 + 18x = 2(8 + 7x) -36 + 18x = (8 * 2 + 7x * 2) -36 + 18x = (16 + 14x) Solving -36 + 18x = 16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -36 + 18x + -14x = 16 + 14x + -14x Combine like terms: 18x + -14x = 4x -36 + 4x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 -36 + 4x = 16 + 0 -36 + 4x = 16 Add '36' to each side of the equation. -36 + 36 + 4x = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = 16 + 36 4x = 16 + 36 Combine like terms: 16 + 36 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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