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Simplifying 7 + 8(x + -6) = 2 + -3(x + -1) Reorder the terms: 7 + 8(-6 + x) = 2 + -3(x + -1) 7 + (-6 * 8 + x * 8) = 2 + -3(x + -1) 7 + (-48 + 8x) = 2 + -3(x + -1) Combine like terms: 7 + -48 = -41 -41 + 8x = 2 + -3(x + -1) Reorder the terms: -41 + 8x = 2 + -3(-1 + x) -41 + 8x = 2 + (-1 * -3 + x * -3) -41 + 8x = 2 + (3 + -3x) Combine like terms: 2 + 3 = 5 -41 + 8x = 5 + -3x Solving -41 + 8x = 5 + -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. -41 + 8x + 3x = 5 + -3x + 3x Combine like terms: 8x + 3x = 11x -41 + 11x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -41 + 11x = 5 + 0 -41 + 11x = 5 Add '41' to each side of the equation. -41 + 41 + 11x = 5 + 41 Combine like terms: -41 + 41 = 0 0 + 11x = 5 + 41 11x = 5 + 41 Combine like terms: 5 + 41 = 46 11x = 46 Divide each side by '11'. x = 4.181818182 Simplifying x = 4.181818182
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