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Simplifying 7 + -8(x + 2) = 3(x + -7) Reorder the terms: 7 + -8(2 + x) = 3(x + -7) 7 + (2 * -8 + x * -8) = 3(x + -7) 7 + (-16 + -8x) = 3(x + -7) Combine like terms: 7 + -16 = -9 -9 + -8x = 3(x + -7) Reorder the terms: -9 + -8x = 3(-7 + x) -9 + -8x = (-7 * 3 + x * 3) -9 + -8x = (-21 + 3x) Solving -9 + -8x = -21 + 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. -9 + -8x + -3x = -21 + 3x + -3x Combine like terms: -8x + -3x = -11x -9 + -11x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -11x = -21 + 0 -9 + -11x = -21 Add '9' to each side of the equation. -9 + 9 + -11x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = -21 + 9 -11x = -21 + 9 Combine like terms: -21 + 9 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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