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Simplifying 2(x + -6) + -9 = 30x + -189 Reorder the terms: 2(-6 + x) + -9 = 30x + -189 (-6 * 2 + x * 2) + -9 = 30x + -189 (-12 + 2x) + -9 = 30x + -189 Reorder the terms: -12 + -9 + 2x = 30x + -189 Combine like terms: -12 + -9 = -21 -21 + 2x = 30x + -189 Reorder the terms: -21 + 2x = -189 + 30x Solving -21 + 2x = -189 + 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. -21 + 2x + -30x = -189 + 30x + -30x Combine like terms: 2x + -30x = -28x -21 + -28x = -189 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + -28x = -189 + 0 -21 + -28x = -189 Add '21' to each side of the equation. -21 + 21 + -28x = -189 + 21 Combine like terms: -21 + 21 = 0 0 + -28x = -189 + 21 -28x = -189 + 21 Combine like terms: -189 + 21 = -168 -28x = -168 Divide each side by '-28'. x = 6 Simplifying x = 6
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