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Simplifying 1 + 8(x + -8) = 6 + -7(x + -5) Reorder the terms: 1 + 8(-8 + x) = 6 + -7(x + -5) 1 + (-8 * 8 + x * 8) = 6 + -7(x + -5) 1 + (-64 + 8x) = 6 + -7(x + -5) Combine like terms: 1 + -64 = -63 -63 + 8x = 6 + -7(x + -5) Reorder the terms: -63 + 8x = 6 + -7(-5 + x) -63 + 8x = 6 + (-5 * -7 + x * -7) -63 + 8x = 6 + (35 + -7x) Combine like terms: 6 + 35 = 41 -63 + 8x = 41 + -7x Solving -63 + 8x = 41 + -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. -63 + 8x + 7x = 41 + -7x + 7x Combine like terms: 8x + 7x = 15x -63 + 15x = 41 + -7x + 7x Combine like terms: -7x + 7x = 0 -63 + 15x = 41 + 0 -63 + 15x = 41 Add '63' to each side of the equation. -63 + 63 + 15x = 41 + 63 Combine like terms: -63 + 63 = 0 0 + 15x = 41 + 63 15x = 41 + 63 Combine like terms: 41 + 63 = 104 15x = 104 Divide each side by '15'. x = 6.933333333 Simplifying x = 6.933333333
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