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Simplifying 5x + 6 + -7(x + 1) = 3x + 2 Reorder the terms: 5x + 6 + -7(1 + x) = 3x + 2 5x + 6 + (1 * -7 + x * -7) = 3x + 2 5x + 6 + (-7 + -7x) = 3x + 2 Reorder the terms: 6 + -7 + 5x + -7x = 3x + 2 Combine like terms: 6 + -7 = -1 -1 + 5x + -7x = 3x + 2 Combine like terms: 5x + -7x = -2x -1 + -2x = 3x + 2 Reorder the terms: -1 + -2x = 2 + 3x Solving -1 + -2x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x -1 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -5x = 2 + 0 -1 + -5x = 2 Add '1' to each side of the equation. -1 + 1 + -5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 2 + 1 -5x = 2 + 1 Combine like terms: 2 + 1 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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