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Simplifying 6 + 9(x + -7) = 7 + -8(x + -7) Reorder the terms: 6 + 9(-7 + x) = 7 + -8(x + -7) 6 + (-7 * 9 + x * 9) = 7 + -8(x + -7) 6 + (-63 + 9x) = 7 + -8(x + -7) Combine like terms: 6 + -63 = -57 -57 + 9x = 7 + -8(x + -7) Reorder the terms: -57 + 9x = 7 + -8(-7 + x) -57 + 9x = 7 + (-7 * -8 + x * -8) -57 + 9x = 7 + (56 + -8x) Combine like terms: 7 + 56 = 63 -57 + 9x = 63 + -8x Solving -57 + 9x = 63 + -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. -57 + 9x + 8x = 63 + -8x + 8x Combine like terms: 9x + 8x = 17x -57 + 17x = 63 + -8x + 8x Combine like terms: -8x + 8x = 0 -57 + 17x = 63 + 0 -57 + 17x = 63 Add '57' to each side of the equation. -57 + 57 + 17x = 63 + 57 Combine like terms: -57 + 57 = 0 0 + 17x = 63 + 57 17x = 63 + 57 Combine like terms: 63 + 57 = 120 17x = 120 Divide each side by '17'. x = 7.058823529 Simplifying x = 7.058823529
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