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Simplifying 3x + 6 + -7(x + 1) = 2x + 4 Reorder the terms: 3x + 6 + -7(1 + x) = 2x + 4 3x + 6 + (1 * -7 + x * -7) = 2x + 4 3x + 6 + (-7 + -7x) = 2x + 4 Reorder the terms: 6 + -7 + 3x + -7x = 2x + 4 Combine like terms: 6 + -7 = -1 -1 + 3x + -7x = 2x + 4 Combine like terms: 3x + -7x = -4x -1 + -4x = 2x + 4 Reorder the terms: -1 + -4x = 4 + 2x Solving -1 + -4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -4x + -2x = 4 + 2x + -2x Combine like terms: -4x + -2x = -6x -1 + -6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -6x = 4 + 0 -1 + -6x = 4 Add '1' to each side of the equation. -1 + 1 + -6x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 4 + 1 -6x = 4 + 1 Combine like terms: 4 + 1 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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