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Simplifying 4 + 8(x + -8) = 1 + -7(x + -7) Reorder the terms: 4 + 8(-8 + x) = 1 + -7(x + -7) 4 + (-8 * 8 + x * 8) = 1 + -7(x + -7) 4 + (-64 + 8x) = 1 + -7(x + -7) Combine like terms: 4 + -64 = -60 -60 + 8x = 1 + -7(x + -7) Reorder the terms: -60 + 8x = 1 + -7(-7 + x) -60 + 8x = 1 + (-7 * -7 + x * -7) -60 + 8x = 1 + (49 + -7x) Combine like terms: 1 + 49 = 50 -60 + 8x = 50 + -7x Solving -60 + 8x = 50 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -60 + 8x + 7x = 50 + -7x + 7x Combine like terms: 8x + 7x = 15x -60 + 15x = 50 + -7x + 7x Combine like terms: -7x + 7x = 0 -60 + 15x = 50 + 0 -60 + 15x = 50 Add '60' to each side of the equation. -60 + 60 + 15x = 50 + 60 Combine like terms: -60 + 60 = 0 0 + 15x = 50 + 60 15x = 50 + 60 Combine like terms: 50 + 60 = 110 15x = 110 Divide each side by '15'. x = 7.333333333 Simplifying x = 7.333333333
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