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Simplifying 4 + 9(x + -7) = 10 + -2(x + -8) Reorder the terms: 4 + 9(-7 + x) = 10 + -2(x + -8) 4 + (-7 * 9 + x * 9) = 10 + -2(x + -8) 4 + (-63 + 9x) = 10 + -2(x + -8) Combine like terms: 4 + -63 = -59 -59 + 9x = 10 + -2(x + -8) Reorder the terms: -59 + 9x = 10 + -2(-8 + x) -59 + 9x = 10 + (-8 * -2 + x * -2) -59 + 9x = 10 + (16 + -2x) Combine like terms: 10 + 16 = 26 -59 + 9x = 26 + -2x Solving -59 + 9x = 26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -59 + 9x + 2x = 26 + -2x + 2x Combine like terms: 9x + 2x = 11x -59 + 11x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -59 + 11x = 26 + 0 -59 + 11x = 26 Add '59' to each side of the equation. -59 + 59 + 11x = 26 + 59 Combine like terms: -59 + 59 = 0 0 + 11x = 26 + 59 11x = 26 + 59 Combine like terms: 26 + 59 = 85 11x = 85 Divide each side by '11'. x = 7.727272727 Simplifying x = 7.727272727
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