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Simplifying 2x + 6 + -7(x + 1) = 3x + 4 Reorder the terms: 2x + 6 + -7(1 + x) = 3x + 4 2x + 6 + (1 * -7 + x * -7) = 3x + 4 2x + 6 + (-7 + -7x) = 3x + 4 Reorder the terms: 6 + -7 + 2x + -7x = 3x + 4 Combine like terms: 6 + -7 = -1 -1 + 2x + -7x = 3x + 4 Combine like terms: 2x + -7x = -5x -1 + -5x = 3x + 4 Reorder the terms: -1 + -5x = 4 + 3x Solving -1 + -5x = 4 + 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 + -5x + -3x = 4 + 3x + -3x Combine like terms: -5x + -3x = -8x -1 + -8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -8x = 4 + 0 -1 + -8x = 4 Add '1' to each side of the equation. -1 + 1 + -8x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 4 + 1 -8x = 4 + 1 Combine like terms: 4 + 1 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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