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Simplifying 4 + 7(x + -9) = 10 + -2(x + -8) Reorder the terms: 4 + 7(-9 + x) = 10 + -2(x + -8) 4 + (-9 * 7 + x * 7) = 10 + -2(x + -8) 4 + (-63 + 7x) = 10 + -2(x + -8) Combine like terms: 4 + -63 = -59 -59 + 7x = 10 + -2(x + -8) Reorder the terms: -59 + 7x = 10 + -2(-8 + x) -59 + 7x = 10 + (-8 * -2 + x * -2) -59 + 7x = 10 + (16 + -2x) Combine like terms: 10 + 16 = 26 -59 + 7x = 26 + -2x Solving -59 + 7x = 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 + 7x + 2x = 26 + -2x + 2x Combine like terms: 7x + 2x = 9x -59 + 9x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -59 + 9x = 26 + 0 -59 + 9x = 26 Add '59' to each side of the equation. -59 + 59 + 9x = 26 + 59 Combine like terms: -59 + 59 = 0 0 + 9x = 26 + 59 9x = 26 + 59 Combine like terms: 26 + 59 = 85 9x = 85 Divide each side by '9'. x = 9.444444444 Simplifying x = 9.444444444
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