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Simplifying -9(-22x + 21) = 15(-34 + 2x) Reorder the terms: -9(21 + -22x) = 15(-34 + 2x) (21 * -9 + -22x * -9) = 15(-34 + 2x) (-189 + 198x) = 15(-34 + 2x) -189 + 198x = (-34 * 15 + 2x * 15) -189 + 198x = (-510 + 30x) Solving -189 + 198x = -510 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -189 + 198x + -30x = -510 + 30x + -30x Combine like terms: 198x + -30x = 168x -189 + 168x = -510 + 30x + -30x Combine like terms: 30x + -30x = 0 -189 + 168x = -510 + 0 -189 + 168x = -510 Add '189' to each side of the equation. -189 + 189 + 168x = -510 + 189 Combine like terms: -189 + 189 = 0 0 + 168x = -510 + 189 168x = -510 + 189 Combine like terms: -510 + 189 = -321 168x = -321 Divide each side by '168'. x = -1.910714286 Simplifying x = -1.910714286
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