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Simplifying (5x + 2x + -7x + 9) + -1(-4 + 3x + 2x + 1) = 0 Reorder the terms: (9 + 5x + 2x + -7x) + -1(-4 + 3x + 2x + 1) = 0 Combine like terms: 5x + 2x = 7x (9 + 7x + -7x) + -1(-4 + 3x + 2x + 1) = 0 Combine like terms: 7x + -7x = 0 (9 + 0) + -1(-4 + 3x + 2x + 1) = 0 (9) + -1(-4 + 3x + 2x + 1) = 0 9 + -1(-4 + 3x + 2x + 1) = 0 Reorder the terms: 9 + -1(-4 + 1 + 3x + 2x) = 0 Combine like terms: -4 + 1 = -3 9 + -1(-3 + 3x + 2x) = 0 Combine like terms: 3x + 2x = 5x 9 + -1(-3 + 5x) = 0 9 + (-3 * -1 + 5x * -1) = 0 9 + (3 + -5x) = 0 Combine like terms: 9 + 3 = 12 12 + -5x = 0 Solving 12 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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