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Simplifying (4 * -1) + -1(2x + 2) = x + 5 Multiply 4 * -1 (-4) + -1(2x + 2) = x + 5 -4 + -1(2x + 2) = x + 5 Reorder the terms: -4 + -1(2 + 2x) = x + 5 -4 + (2 * -1 + 2x * -1) = x + 5 -4 + (-2 + -2x) = x + 5 Combine like terms: -4 + -2 = -6 -6 + -2x = x + 5 Reorder the terms: -6 + -2x = 5 + x Solving -6 + -2x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -2x + -1x = 5 + x + -1x Combine like terms: -2x + -1x = -3x -6 + -3x = 5 + x + -1x Combine like terms: x + -1x = 0 -6 + -3x = 5 + 0 -6 + -3x = 5 Add '6' to each side of the equation. -6 + 6 + -3x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 5 + 6 -3x = 5 + 6 Combine like terms: 5 + 6 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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