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Simplifying 7 + 8(x + -9) = 4 + -9(x + -6) Reorder the terms: 7 + 8(-9 + x) = 4 + -9(x + -6) 7 + (-9 * 8 + x * 8) = 4 + -9(x + -6) 7 + (-72 + 8x) = 4 + -9(x + -6) Combine like terms: 7 + -72 = -65 -65 + 8x = 4 + -9(x + -6) Reorder the terms: -65 + 8x = 4 + -9(-6 + x) -65 + 8x = 4 + (-6 * -9 + x * -9) -65 + 8x = 4 + (54 + -9x) Combine like terms: 4 + 54 = 58 -65 + 8x = 58 + -9x Solving -65 + 8x = 58 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -65 + 8x + 9x = 58 + -9x + 9x Combine like terms: 8x + 9x = 17x -65 + 17x = 58 + -9x + 9x Combine like terms: -9x + 9x = 0 -65 + 17x = 58 + 0 -65 + 17x = 58 Add '65' to each side of the equation. -65 + 65 + 17x = 58 + 65 Combine like terms: -65 + 65 = 0 0 + 17x = 58 + 65 17x = 58 + 65 Combine like terms: 58 + 65 = 123 17x = 123 Divide each side by '17'. x = 7.235294118 Simplifying x = 7.235294118
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