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Simplifying 4x + 17 = 9(x + 2) + -12 Reorder the terms: 17 + 4x = 9(x + 2) + -12 Reorder the terms: 17 + 4x = 9(2 + x) + -12 17 + 4x = (2 * 9 + x * 9) + -12 17 + 4x = (18 + 9x) + -12 Reorder the terms: 17 + 4x = 18 + -12 + 9x Combine like terms: 18 + -12 = 6 17 + 4x = 6 + 9x Solving 17 + 4x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 4x + -9x = 6 + 9x + -9x Combine like terms: 4x + -9x = -5x 17 + -5x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -5x = 6 + 0 17 + -5x = 6 Add '-17' to each side of the equation. 17 + -17 + -5x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 6 + -17 -5x = 6 + -17 Combine like terms: 6 + -17 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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