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Simplifying 2x + 5(x + -1) = 6 + 4(x + -2) Reorder the terms: 2x + 5(-1 + x) = 6 + 4(x + -2) 2x + (-1 * 5 + x * 5) = 6 + 4(x + -2) 2x + (-5 + 5x) = 6 + 4(x + -2) Reorder the terms: -5 + 2x + 5x = 6 + 4(x + -2) Combine like terms: 2x + 5x = 7x -5 + 7x = 6 + 4(x + -2) Reorder the terms: -5 + 7x = 6 + 4(-2 + x) -5 + 7x = 6 + (-2 * 4 + x * 4) -5 + 7x = 6 + (-8 + 4x) Combine like terms: 6 + -8 = -2 -5 + 7x = -2 + 4x Solving -5 + 7x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 7x + -4x = -2 + 4x + -4x Combine like terms: 7x + -4x = 3x -5 + 3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3x = -2 + 0 -5 + 3x = -2 Add '5' to each side of the equation. -5 + 5 + 3x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -2 + 5 3x = -2 + 5 Combine like terms: -2 + 5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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