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Simplifying 10 + 5x + -9x + 2 = 5x + -30 + 2 Reorder the terms: 10 + 2 + 5x + -9x = 5x + -30 + 2 Combine like terms: 10 + 2 = 12 12 + 5x + -9x = 5x + -30 + 2 Combine like terms: 5x + -9x = -4x 12 + -4x = 5x + -30 + 2 Reorder the terms: 12 + -4x = -30 + 2 + 5x Combine like terms: -30 + 2 = -28 12 + -4x = -28 + 5x Solving 12 + -4x = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -4x + -5x = -28 + 5x + -5x Combine like terms: -4x + -5x = -9x 12 + -9x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -9x = -28 + 0 12 + -9x = -28 Add '-12' to each side of the equation. 12 + -12 + -9x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -28 + -12 -9x = -28 + -12 Combine like terms: -28 + -12 = -40 -9x = -40 Divide each side by '-9'. x = 4.444444444 Simplifying x = 4.444444444
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