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Simplifying 2(4x + 9) + -3x = 6 + -2x Reorder the terms: 2(9 + 4x) + -3x = 6 + -2x (9 * 2 + 4x * 2) + -3x = 6 + -2x (18 + 8x) + -3x = 6 + -2x Combine like terms: 8x + -3x = 5x 18 + 5x = 6 + -2x Solving 18 + 5x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x 18 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 7x = 6 + 0 18 + 7x = 6 Add '-18' to each side of the equation. 18 + -18 + 7x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 6 + -18 7x = 6 + -18 Combine like terms: 6 + -18 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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