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Simplifying 4 + 4x + -6 = 7(x + 2) + -5x Reorder the terms: 4 + -6 + 4x = 7(x + 2) + -5x Combine like terms: 4 + -6 = -2 -2 + 4x = 7(x + 2) + -5x Reorder the terms: -2 + 4x = 7(2 + x) + -5x -2 + 4x = (2 * 7 + x * 7) + -5x -2 + 4x = (14 + 7x) + -5x Combine like terms: 7x + -5x = 2x -2 + 4x = 14 + 2x Solving -2 + 4x = 14 + 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. -2 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = 14 + 0 -2 + 2x = 14 Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 2x = 14 + 2 Combine like terms: 14 + 2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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