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Simplifying 5 + 9(x + -7) = 1 + -9(x + -8) Reorder the terms: 5 + 9(-7 + x) = 1 + -9(x + -8) 5 + (-7 * 9 + x * 9) = 1 + -9(x + -8) 5 + (-63 + 9x) = 1 + -9(x + -8) Combine like terms: 5 + -63 = -58 -58 + 9x = 1 + -9(x + -8) Reorder the terms: -58 + 9x = 1 + -9(-8 + x) -58 + 9x = 1 + (-8 * -9 + x * -9) -58 + 9x = 1 + (72 + -9x) Combine like terms: 1 + 72 = 73 -58 + 9x = 73 + -9x Solving -58 + 9x = 73 + -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. -58 + 9x + 9x = 73 + -9x + 9x Combine like terms: 9x + 9x = 18x -58 + 18x = 73 + -9x + 9x Combine like terms: -9x + 9x = 0 -58 + 18x = 73 + 0 -58 + 18x = 73 Add '58' to each side of the equation. -58 + 58 + 18x = 73 + 58 Combine like terms: -58 + 58 = 0 0 + 18x = 73 + 58 18x = 73 + 58 Combine like terms: 73 + 58 = 131 18x = 131 Divide each side by '18'. x = 7.277777778 Simplifying x = 7.277777778
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