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Simplifying 5 + 3(x + -5) = 1 + -9(x + -8) Reorder the terms: 5 + 3(-5 + x) = 1 + -9(x + -8) 5 + (-5 * 3 + x * 3) = 1 + -9(x + -8) 5 + (-15 + 3x) = 1 + -9(x + -8) Combine like terms: 5 + -15 = -10 -10 + 3x = 1 + -9(x + -8) Reorder the terms: -10 + 3x = 1 + -9(-8 + x) -10 + 3x = 1 + (-8 * -9 + x * -9) -10 + 3x = 1 + (72 + -9x) Combine like terms: 1 + 72 = 73 -10 + 3x = 73 + -9x Solving -10 + 3x = 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. -10 + 3x + 9x = 73 + -9x + 9x Combine like terms: 3x + 9x = 12x -10 + 12x = 73 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 12x = 73 + 0 -10 + 12x = 73 Add '10' to each side of the equation. -10 + 10 + 12x = 73 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 73 + 10 12x = 73 + 10 Combine like terms: 73 + 10 = 83 12x = 83 Divide each side by '12'. x = 6.916666667 Simplifying x = 6.916666667
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