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Simplifying 5 + -6(x + 1) = 7 + -3x Reorder the terms: 5 + -6(1 + x) = 7 + -3x 5 + (1 * -6 + x * -6) = 7 + -3x 5 + (-6 + -6x) = 7 + -3x Combine like terms: 5 + -6 = -1 -1 + -6x = 7 + -3x Solving -1 + -6x = 7 + -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 + -6x + 3x = 7 + -3x + 3x Combine like terms: -6x + 3x = -3x -1 + -3x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + -3x = 7 + 0 -1 + -3x = 7 Add '1' to each side of the equation. -1 + 1 + -3x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 7 + 1 -3x = 7 + 1 Combine like terms: 7 + 1 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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