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Simplifying 7(x + -2) + 5 = 6 + -2(x + 8) Reorder the terms: 7(-2 + x) + 5 = 6 + -2(x + 8) (-2 * 7 + x * 7) + 5 = 6 + -2(x + 8) (-14 + 7x) + 5 = 6 + -2(x + 8) Reorder the terms: -14 + 5 + 7x = 6 + -2(x + 8) Combine like terms: -14 + 5 = -9 -9 + 7x = 6 + -2(x + 8) Reorder the terms: -9 + 7x = 6 + -2(8 + x) -9 + 7x = 6 + (8 * -2 + x * -2) -9 + 7x = 6 + (-16 + -2x) Combine like terms: 6 + -16 = -10 -9 + 7x = -10 + -2x Solving -9 + 7x = -10 + -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. -9 + 7x + 2x = -10 + -2x + 2x Combine like terms: 7x + 2x = 9x -9 + 9x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 9x = -10 + 0 -9 + 9x = -10 Add '9' to each side of the equation. -9 + 9 + 9x = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -10 + 9 9x = -10 + 9 Combine like terms: -10 + 9 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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