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Simplifying 4 + 2(x + -4) = 1 + -9(x + -8) Reorder the terms: 4 + 2(-4 + x) = 1 + -9(x + -8) 4 + (-4 * 2 + x * 2) = 1 + -9(x + -8) 4 + (-8 + 2x) = 1 + -9(x + -8) Combine like terms: 4 + -8 = -4 -4 + 2x = 1 + -9(x + -8) Reorder the terms: -4 + 2x = 1 + -9(-8 + x) -4 + 2x = 1 + (-8 * -9 + x * -9) -4 + 2x = 1 + (72 + -9x) Combine like terms: 1 + 72 = 73 -4 + 2x = 73 + -9x Solving -4 + 2x = 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. -4 + 2x + 9x = 73 + -9x + 9x Combine like terms: 2x + 9x = 11x -4 + 11x = 73 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 11x = 73 + 0 -4 + 11x = 73 Add '4' to each side of the equation. -4 + 4 + 11x = 73 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 73 + 4 11x = 73 + 4 Combine like terms: 73 + 4 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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