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Simplifying 2(4x + 7) + -6x = 7x + 9 Reorder the terms: 2(7 + 4x) + -6x = 7x + 9 (7 * 2 + 4x * 2) + -6x = 7x + 9 (14 + 8x) + -6x = 7x + 9 Combine like terms: 8x + -6x = 2x 14 + 2x = 7x + 9 Reorder the terms: 14 + 2x = 9 + 7x Solving 14 + 2x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 2x + -7x = 9 + 7x + -7x Combine like terms: 2x + -7x = -5x 14 + -5x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -5x = 9 + 0 14 + -5x = 9 Add '-14' to each side of the equation. 14 + -14 + -5x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 9 + -14 -5x = 9 + -14 Combine like terms: 9 + -14 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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