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Simplifying 2 + 8(x + -7) = 10 + -3(x + -6) Reorder the terms: 2 + 8(-7 + x) = 10 + -3(x + -6) 2 + (-7 * 8 + x * 8) = 10 + -3(x + -6) 2 + (-56 + 8x) = 10 + -3(x + -6) Combine like terms: 2 + -56 = -54 -54 + 8x = 10 + -3(x + -6) Reorder the terms: -54 + 8x = 10 + -3(-6 + x) -54 + 8x = 10 + (-6 * -3 + x * -3) -54 + 8x = 10 + (18 + -3x) Combine like terms: 10 + 18 = 28 -54 + 8x = 28 + -3x Solving -54 + 8x = 28 + -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. -54 + 8x + 3x = 28 + -3x + 3x Combine like terms: 8x + 3x = 11x -54 + 11x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -54 + 11x = 28 + 0 -54 + 11x = 28 Add '54' to each side of the equation. -54 + 54 + 11x = 28 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = 28 + 54 11x = 28 + 54 Combine like terms: 28 + 54 = 82 11x = 82 Divide each side by '11'. x = 7.454545455 Simplifying x = 7.454545455
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