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Simplifying 9(2x + -4) = 121 + -4(7 + -1x) Reorder the terms: 9(-4 + 2x) = 121 + -4(7 + -1x) (-4 * 9 + 2x * 9) = 121 + -4(7 + -1x) (-36 + 18x) = 121 + -4(7 + -1x) -36 + 18x = 121 + (7 * -4 + -1x * -4) -36 + 18x = 121 + (-28 + 4x) Combine like terms: 121 + -28 = 93 -36 + 18x = 93 + 4x Solving -36 + 18x = 93 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 18x + -4x = 93 + 4x + -4x Combine like terms: 18x + -4x = 14x -36 + 14x = 93 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 14x = 93 + 0 -36 + 14x = 93 Add '36' to each side of the equation. -36 + 36 + 14x = 93 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 93 + 36 14x = 93 + 36 Combine like terms: 93 + 36 = 129 14x = 129 Divide each side by '14'. x = 9.214285714 Simplifying x = 9.214285714
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