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Simplifying 7x + 5 + -2x + 9x = 14x + -9 + 2x + -11 + 8 Reorder the terms: 5 + 7x + -2x + 9x = 14x + -9 + 2x + -11 + 8 Combine like terms: 7x + -2x = 5x 5 + 5x + 9x = 14x + -9 + 2x + -11 + 8 Combine like terms: 5x + 9x = 14x 5 + 14x = 14x + -9 + 2x + -11 + 8 Reorder the terms: 5 + 14x = -9 + -11 + 8 + 14x + 2x Combine like terms: -9 + -11 = -20 5 + 14x = -20 + 8 + 14x + 2x Combine like terms: -20 + 8 = -12 5 + 14x = -12 + 14x + 2x Combine like terms: 14x + 2x = 16x 5 + 14x = -12 + 16x Solving 5 + 14x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 5 + 14x + -16x = -12 + 16x + -16x Combine like terms: 14x + -16x = -2x 5 + -2x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 5 + -2x = -12 + 0 5 + -2x = -12 Add '-5' to each side of the equation. 5 + -5 + -2x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -12 + -5 -2x = -12 + -5 Combine like terms: -12 + -5 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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