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Simplifying 3 + 9(x + -7) = 10 + -8(x + -6) Reorder the terms: 3 + 9(-7 + x) = 10 + -8(x + -6) 3 + (-7 * 9 + x * 9) = 10 + -8(x + -6) 3 + (-63 + 9x) = 10 + -8(x + -6) Combine like terms: 3 + -63 = -60 -60 + 9x = 10 + -8(x + -6) Reorder the terms: -60 + 9x = 10 + -8(-6 + x) -60 + 9x = 10 + (-6 * -8 + x * -8) -60 + 9x = 10 + (48 + -8x) Combine like terms: 10 + 48 = 58 -60 + 9x = 58 + -8x Solving -60 + 9x = 58 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -60 + 9x + 8x = 58 + -8x + 8x Combine like terms: 9x + 8x = 17x -60 + 17x = 58 + -8x + 8x Combine like terms: -8x + 8x = 0 -60 + 17x = 58 + 0 -60 + 17x = 58 Add '60' to each side of the equation. -60 + 60 + 17x = 58 + 60 Combine like terms: -60 + 60 = 0 0 + 17x = 58 + 60 17x = 58 + 60 Combine like terms: 58 + 60 = 118 17x = 118 Divide each side by '17'. x = 6.941176471 Simplifying x = 6.941176471
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