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Simplifying 2(3x + 4) = 7x + 2 + -5x Reorder the terms: 2(4 + 3x) = 7x + 2 + -5x (4 * 2 + 3x * 2) = 7x + 2 + -5x (8 + 6x) = 7x + 2 + -5x Reorder the terms: 8 + 6x = 2 + 7x + -5x Combine like terms: 7x + -5x = 2x 8 + 6x = 2 + 2x Solving 8 + 6x = 2 + 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. 8 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 2 + 0 8 + 4x = 2 Add '-8' to each side of the equation. 8 + -8 + 4x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 2 + -8 4x = 2 + -8 Combine like terms: 2 + -8 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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