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Simplifying 7 + -5x + 9 + 4x + 2 = 5 + 3 * 4 Reorder the terms: 7 + 9 + 2 + -5x + 4x = 5 + 3 * 4 Combine like terms: 7 + 9 = 16 16 + 2 + -5x + 4x = 5 + 3 * 4 Combine like terms: 16 + 2 = 18 18 + -5x + 4x = 5 + 3 * 4 Combine like terms: -5x + 4x = -1x 18 + -1x = 5 + 3 * 4 Multiply 3 * 4 18 + -1x = 5 + 12 Combine like terms: 5 + 12 = 17 18 + -1x = 17 Solving 18 + -1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 17 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 17 + -18 -1x = 17 + -18 Combine like terms: 17 + -18 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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