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Simplifying 7x + 3 + -7(x + 1) = -3x + -6 Reorder the terms: 7x + 3 + -7(1 + x) = -3x + -6 7x + 3 + (1 * -7 + x * -7) = -3x + -6 7x + 3 + (-7 + -7x) = -3x + -6 Reorder the terms: 3 + -7 + 7x + -7x = -3x + -6 Combine like terms: 3 + -7 = -4 -4 + 7x + -7x = -3x + -6 Combine like terms: 7x + -7x = 0 -4 + 0 = -3x + -6 -4 = -3x + -6 Reorder the terms: -4 = -6 + -3x Solving -4 = -6 + -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. -4 + 3x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 3x = -6 + 0 -4 + 3x = -6 Add '4' to each side of the equation. -4 + 4 + 3x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -6 + 4 3x = -6 + 4 Combine like terms: -6 + 4 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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