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Simplifying 5 + -7(2 + x) = x + -2(x + 4) 5 + (2 * -7 + x * -7) = x + -2(x + 4) 5 + (-14 + -7x) = x + -2(x + 4) Combine like terms: 5 + -14 = -9 -9 + -7x = x + -2(x + 4) Reorder the terms: -9 + -7x = x + -2(4 + x) -9 + -7x = x + (4 * -2 + x * -2) -9 + -7x = x + (-8 + -2x) Reorder the terms: -9 + -7x = -8 + x + -2x Combine like terms: x + -2x = -1x -9 + -7x = -8 + -1x Solving -9 + -7x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + -7x + x = -8 + -1x + x Combine like terms: -7x + x = -6x -9 + -6x = -8 + -1x + x Combine like terms: -1x + x = 0 -9 + -6x = -8 + 0 -9 + -6x = -8 Add '9' to each side of the equation. -9 + 9 + -6x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -8 + 9 -6x = -8 + 9 Combine like terms: -8 + 9 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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