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Simplifying 2x + 4 + -7(x + 1) = 3x + 4 Reorder the terms: 2x + 4 + -7(1 + x) = 3x + 4 2x + 4 + (1 * -7 + x * -7) = 3x + 4 2x + 4 + (-7 + -7x) = 3x + 4 Reorder the terms: 4 + -7 + 2x + -7x = 3x + 4 Combine like terms: 4 + -7 = -3 -3 + 2x + -7x = 3x + 4 Combine like terms: 2x + -7x = -5x -3 + -5x = 3x + 4 Reorder the terms: -3 + -5x = 4 + 3x Solving -3 + -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. -3 + -5x + -3x = 4 + 3x + -3x Combine like terms: -5x + -3x = -8x -3 + -8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -8x = 4 + 0 -3 + -8x = 4 Add '3' to each side of the equation. -3 + 3 + -8x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 4 + 3 -8x = 4 + 3 Combine like terms: 4 + 3 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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