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Simplifying 7x + -6 + -5(x + 1) = -4x + 7 Reorder the terms: 7x + -6 + -5(1 + x) = -4x + 7 7x + -6 + (1 * -5 + x * -5) = -4x + 7 7x + -6 + (-5 + -5x) = -4x + 7 Reorder the terms: -6 + -5 + 7x + -5x = -4x + 7 Combine like terms: -6 + -5 = -11 -11 + 7x + -5x = -4x + 7 Combine like terms: 7x + -5x = 2x -11 + 2x = -4x + 7 Reorder the terms: -11 + 2x = 7 + -4x Solving -11 + 2x = 7 + -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. -11 + 2x + 4x = 7 + -4x + 4x Combine like terms: 2x + 4x = 6x -11 + 6x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 6x = 7 + 0 -11 + 6x = 7 Add '11' to each side of the equation. -11 + 11 + 6x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 7 + 11 6x = 7 + 11 Combine like terms: 7 + 11 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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