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Simplifying 8 + 3(x + -5) = 1 + -8(x + -8) Reorder the terms: 8 + 3(-5 + x) = 1 + -8(x + -8) 8 + (-5 * 3 + x * 3) = 1 + -8(x + -8) 8 + (-15 + 3x) = 1 + -8(x + -8) Combine like terms: 8 + -15 = -7 -7 + 3x = 1 + -8(x + -8) Reorder the terms: -7 + 3x = 1 + -8(-8 + x) -7 + 3x = 1 + (-8 * -8 + x * -8) -7 + 3x = 1 + (64 + -8x) Combine like terms: 1 + 64 = 65 -7 + 3x = 65 + -8x Solving -7 + 3x = 65 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -7 + 3x + 8x = 65 + -8x + 8x Combine like terms: 3x + 8x = 11x -7 + 11x = 65 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 11x = 65 + 0 -7 + 11x = 65 Add '7' to each side of the equation. -7 + 7 + 11x = 65 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 65 + 7 11x = 65 + 7 Combine like terms: 65 + 7 = 72 11x = 72 Divide each side by '11'. x = 6.545454545 Simplifying x = 6.545454545
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